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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[256.69,505.21,98.62,21.14],"bbox_pdf":[256.69,265.65,355.31,286.79],"fragments":[{"bbox_pdf":[256.69,265.65,355.31,286.79],"words":[2661,2664,2662,2663,2665,2666]}],"html":null,"kind":"paragraph","latex":"\\widehat{d}_{LW}=\\arg\\min_{d}Q(d).","level":null,"list_depth":null,"match":{"src_placed":1.0,"... | CC-BY-4.0 | assets/d12a30c54e35c345f671d4469853a686d0101f47a7035d61c5328ddfae7b0372.pdf | d12a30c54e35c345f671d4469853a686d0101f47a7035d61c5328ddfae7b0372 | arxiv:2608.30569 | formula | 6 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[195.02,168.33,221.96,45.92],"bbox_pdf":[195.02,577.75,416.98,623.67],"fragments":[{"bbox_pdf":[195.02,577.75,416.98,623.67],"words":[2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920]}],"html":null,"kind":"paragraph","latex":"R(d)=\\log\\left(\\frac{1}{m}\\... | CC-BY-4.0 | assets/c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8.pdf | c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8 | arxiv:2608.30569 | formula | 7 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[253.49,273.8,105.02,21.14],"bbox_pdf":[253.49,497.06,358.51,518.2],"fragments":[{"bbox_pdf":[253.49,497.06,358.51,518.2],"words":[2954,2957,2955,2956,2958,2959]}],"html":null,"kind":"paragraph","latex":"\\widehat{d}_{ELW}=\\arg\\min_{d}R(d).","level":null,"list_depth":null,"match":{"src_placed":1.0,"v... | CC-BY-4.0 | assets/c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8.pdf | c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8 | arxiv:2608.30569 | formula | 7 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[230.16,537.19,151.67,14.25],"bbox_pdf":[230.16,240.55,381.83,254.81],"fragments":[{"bbox_pdf":[230.16,240.55,381.83,254.81],"words":[3124,3125,3126,3127,3128,3129,3130,3131,3132]}],"html":null,"kind":"paragraph","latex":"\\operatorname{Var}(W_{j,k})\\sim C\\,2^{2dj},\\qquad j\\rightarrow\\infty,","lev... | CC-BY-4.0 | assets/c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8.pdf | c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8 | arxiv:2608.30569 | formula | 7 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.25,585.55,159.51,13.53],"bbox_pdf":[226.25,192.92,385.75,206.45],"fragments":[{"bbox_pdf":[226.25,192.92,385.75,206.45],"words":[3145,3146,3147,3148,3149,3150,3151]}],"html":null,"kind":"paragraph","latex":"\\log_{2}\\!\\left(\\operatorname{Var}(W_{j,k})\\right)=\\alpha+2dj+o(1),","level":null,"li... | CC-BY-4.0 | assets/c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8.pdf | c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8 | arxiv:2608.30569 | formula | 7 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[264.59,627.24,82.83,36.37],"bbox_pdf":[264.59,128.39,347.42,164.76],"fragments":[{"bbox_pdf":[264.59,128.39,347.42,164.76],"words":[3165,3166,3167,3168,3169,3170,3171,3172,3173,3174]}],"html":null,"kind":"paragraph","latex":"\\widehat{\\sigma}_{j}^{2}=\\frac{1}{n_{j}}\\sum_{k=1}^{n_{j}}W_{j,k}^{2},","... | CC-BY-4.0 | assets/c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8.pdf | c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8 | arxiv:2608.30569 | formula | 7 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.61,700.25,112.77,22.44],"bbox_pdf":[249.61,69.3,362.39,91.75],"fragments":[{"bbox_pdf":[249.61,69.3,362.39,91.75],"words":[3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209]}],"html":null,"kind":"paragraph","latex":"\\log_{2}\\!\\left(\\widehat{\\sigma}_{j}^{2}\\right)=\\alpha+\\beta j+\\vare... | CC-BY-4.0 | assets/c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8.pdf | c8f9f0f637cd672a6ef25ca2c08daaed93241bd97bf2068dd0f93ca3d5e035b8 | arxiv:2608.30569 | formula | 7 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96.pdf | 2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96 | arxiv:2608.30569 | page | 8 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[279.45,101.85,53.1,21.27],"bbox_pdf":[279.45,668.88,332.55,690.15],"fragments":[{"bbox_pdf":[279.45,668.88,332.55,690.15],"words":[3213,3214,3215,3216,3217]}],"html":null,"kind":"paragraph","latex":"\\widehat{d}_{\\mathrm{WLR}}=\\frac{\\widehat{\\beta}}{2}.","level":null,"list_depth":null,"match":{"sr... | CC-BY-4.0 | assets/2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96.pdf | 2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96 | arxiv:2608.30569 | formula | 8 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[188.85,414.53,234.3,14.11],"bbox_pdf":[188.85,363.36,423.15,377.47],"fragments":[{"bbox_pdf":[188.85,363.36,423.15,377.47],"words":[3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3421,3422,3423,3424,3425,3426]}],"html":null,"kind":"paragraph","latex":"\\Phi(B^{s})\\phi(B)(1-B)^{d}(1-B^{s})^{D}X_{t}... | CC-BY-4.0 | assets/2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96.pdf | 2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96 | arxiv:2608.30569 | formula | 8 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[242.85,673.65,126.3,14.11],"bbox_pdf":[242.85,104.24,369.15,118.35],"fragments":[{"bbox_pdf":[242.85,104.24,369.15,118.35],"words":[3610,3611,3612,3613,3614,3615,3616]}],"html":null,"kind":"paragraph","latex":"\\phi(B)(1-B)^{d}X_{t}=\\theta(B)\\varepsilon_{t},","level":null,"list_depth":null,"match":{... | CC-BY-4.0 | assets/2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96.pdf | 2d295553cf1c25cf715a8de7a3d618cc462d53d698489196facb80fdf0b10f96 | arxiv:2608.30569 | formula | 8 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/41d028453f513682f393b40cd22b698b7066c18a947420809f92701c4d9e9bf2.pdf | 41d028453f513682f393b40cd22b698b7066c18a947420809f92701c4d9e9bf2 | arxiv:2608.30569 | page | 9 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[188.85,241.83,234.3,14.11],"bbox_pdf":[188.85,536.06,423.15,550.17],"fragments":[{"bbox_pdf":[188.85,536.06,423.15,550.17],"words":[3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3763,3764,3765,3766,3767,3768]}],"html":null,"kind":"paragraph","latex":"\\Phi(B^{s})\\phi(B)(1-B)^{d}(1-B^{s})^{D}X_{t}... | CC-BY-4.0 | assets/41d028453f513682f393b40cd22b698b7066c18a947420809f92701c4d9e9bf2.pdf | 41d028453f513682f393b40cd22b698b7066c18a947420809f92701c4d9e9bf2 | arxiv:2608.30569 | formula | 9 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/b0904049b858911736d87bc681c82ba07f712f15fe9436cb3b5e5b0ee705b6d1.pdf | b0904049b858911736d87bc681c82ba07f712f15fe9436cb3b5e5b0ee705b6d1 | arxiv:2608.30569 | page | 10 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/9d1850d5bf3caa18ca1b1cb5bfa36d39349d0f799579542f8a8c20909755f6e3.pdf | 9d1850d5bf3caa18ca1b1cb5bfa36d39349d0f799579542f8a8c20909755f6e3 | arxiv:2608.30569 | page | 11 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/4c70bee1a4fcd6e791fd7b01032969e288e857a8213f0badca66f4a8ae0ae885.pdf | 4c70bee1a4fcd6e791fd7b01032969e288e857a8213f0badca66f4a8ae0ae885 | arxiv:2608.30569 | page | 12 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/df649c72807cce8159990dc253b16adb6631a933e6f718222aaa6905f44c2ccb.pdf | df649c72807cce8159990dc253b16adb6631a933e6f718222aaa6905f44c2ccb | arxiv:2608.30569 | page | 13 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/1d4e14ff27e9af2931687edced017a69ddd4c33adab052121d200dab596305e2.pdf | 1d4e14ff27e9af2931687edced017a69ddd4c33adab052121d200dab596305e2 | arxiv:2608.30569 | page | 14 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/29b6404c6683af1af6ccdbd02f5b7255ca0e6697085369baa16e541e91b8b409.pdf | 29b6404c6683af1af6ccdbd02f5b7255ca0e6697085369baa16e541e91b8b409 | arxiv:2608.30569 | page | 15 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/14dc3c4c0bdc6b8818d458e585644e37401420924555f9d392e722fab5d6ce04.pdf | 14dc3c4c0bdc6b8818d458e585644e37401420924555f9d392e722fab5d6ce04 | arxiv:2608.30569 | page | 16 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/af71e4c7a36f1e9e7201aa63fff46815374d7a135177ab6cfc4123aa959d5083.pdf | af71e4c7a36f1e9e7201aa63fff46815374d7a135177ab6cfc4123aa959d5083 | arxiv:2608.30569 | page | 17 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30... | CC-BY-4.0 | assets/427dac1aa85a5f429b173c990e5de08b75dbb078282c81fad50e176b07ef1e88.pdf | 427dac1aa85a5f429b173c990e5de08b75dbb078282c81fad50e176b07ef1e88 | arxiv:2608.30569 | page | 18 | {"arxiv_id":"2608.30569","authors":"Manganaw N'Daam, Edoh Katchekpele and Tchilabalo Abozou Kpanzou","title":"Long-Memory Estimation and Fractionally Integrated Modeling of White Maize Prices in Togo","url":"https://arxiv.org/abs/2608.30569v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1"... | CC-BY-4.0 | assets/358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7.pdf | 358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7 | arxiv:2608.30763 | page | 3 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[263.1,189.07,69.08,11.96],"bbox_pdf":[263.1,640.86,332.17,652.82],"fragments":[{"bbox_pdf":[263.1,640.86,332.17,652.82],"words":[908,909,910]}],"html":null,"kind":"paragraph","latex":"|Bu|\\ \\leq\\ C|u|","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":1,"role":"formu... | CC-BY-4.0 | assets/358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7.pdf | 358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7 | arxiv:2608.30763 | formula | 3 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[158.06,316.83,278.66,33.43],"bbox_pdf":[158.06,491.63,436.72,525.06],"fragments":[{"bbox_pdf":[158.06,491.63,436.72,525.06],"words":[1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025]}],"html":null,"kind":"paragraph","latex":"\\left\\|\\mathr... | CC-BY-4.0 | assets/358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7.pdf | 358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7 | arxiv:2608.30763 | formula | 3 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.8,463.41,147.67,22.12],"bbox_pdf":[223.8,356.37,371.47,378.48],"fragments":[{"bbox_pdf":[223.8,356.37,371.47,378.48],"words":[1107,1108,1109,1110,1111,1112,1113,1114,1115]}],"html":null,"kind":"paragraph","latex":"\\left|\\mathrm{e}^{-tL(A,B)}u\\right|\\ \\leq\\ \\mathrm{e}^{-tL(A,-C)}|u|.","level... | CC-BY-4.0 | assets/358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7.pdf | 358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7 | arxiv:2608.30763 | formula | 3 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[246.63,539.74,100.77,11.96],"bbox_pdf":[246.63,290.19,347.4,302.15],"fragments":[{"bbox_pdf":[246.63,290.19,347.4,302.15],"words":[1138,1139,1140,1141,1142,1143,1144]}],"html":null,"kind":"paragraph","latex":"0\\ <\\ \\delta\\ \\leq\\ \\phi\\ \\leq\\ M","level":null,"list_depth":null,"match":{"src_pla... | CC-BY-4.0 | assets/358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7.pdf | 358b8b1b48b5cccb5fa826014e7ec2a738c7e9c3e95dfaea6dff4860435ea5b7 | arxiv:2608.30763 | formula | 3 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1"... | CC-BY-4.0 | assets/36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915.pdf | 36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915 | arxiv:2608.30763 | page | 4 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[252.51,463.59,90.26,11.96],"bbox_pdf":[252.51,366.35,342.77,378.3],"fragments":[{"bbox_pdf":[252.51,366.35,342.77,378.3],"words":[1546,1547,1548,1549]}],"html":null,"kind":"paragraph","latex":"\\mathcal{L}(X)=\\mathcal{L}(X,X).","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true}... | CC-BY-4.0 | assets/36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915.pdf | 36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915 | arxiv:2608.30763 | formula | 4 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[238.22,498.53,118.83,12.91],"bbox_pdf":[238.22,330.45,357.05,343.36],"fragments":[{"bbox_pdf":[238.22,330.45,357.05,343.36],"words":[1551,1553,1554,1555,1556,1557,1558,1559]}],"html":null,"kind":"paragraph","latex":"\\gamma\\ \\colon\\ H^{1}(\\Omega)\\ \\to\\ \\mathrm{L}^{2}(\\partial\\Omega)","level"... | CC-BY-4.0 | assets/36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915.pdf | 36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915 | arxiv:2608.30763 | formula | 4 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[186.01,579.86,223.25,25.23],"bbox_pdf":[186.01,236.8,409.26,262.03],"fragments":[{"bbox_pdf":[186.01,236.8,409.26,262.03],"words":[1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1611,1612,1613,1614,1615,1616,1617]}],"html":null,"kind":"paragraph","latex":"\\exists\\alpha>0\\ \\forall\\xi\\in\\... | CC-BY-4.0 | assets/36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915.pdf | 36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915 | arxiv:2608.30763 | formula | 4 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[185.19,670.83,224.39,16.3],"bbox_pdf":[185.19,154.76,409.58,171.06],"fragments":[{"bbox_pdf":[185.19,154.76,409.58,171.06],"words":[1652,1653,1654,1655,1656,1657,1658,1659,1660,1661]}],"html":null,"kind":"paragraph","latex":"\\|\\gamma(u)\\|_{\\mathrm{L}^{2}(\\partial\\Omega)}^{2}\\ \\leq\\ \\varepsil... | CC-BY-4.0 | assets/36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915.pdf | 36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915 | arxiv:2608.30763 | formula | 4 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[169.79,729.59,255.2,16.3],"bbox_pdf":[169.79,96.0,424.99,112.3],"fragments":[{"bbox_pdf":[169.79,96.0,424.99,112.3],"words":[1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710]}],"html":null,"kind":"paragraph","latex":"\\|\\gamma(u)\\|_{\\mathrm{L}^{2}(\\partial\\Omega)}^{2}\\ ... | CC-BY-4.0 | assets/36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915.pdf | 36e17852aff03957e2d6c11e8bbd2cce20bee302ac3c336cf30c8878eac65915 | arxiv:2608.30763 | formula | 4 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1"... | CC-BY-4.0 | assets/2cf52662f92b7a5f4e19253c3eaef87ac8720e8aebe37912b7ffd3d209847209.pdf | 2cf52662f92b7a5f4e19253c3eaef87ac8720e8aebe37912b7ffd3d209847209 | arxiv:2608.30763 | page | 9 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[234.5,738.34,126.28,25.23],"bbox_pdf":[234.5,78.33,360.78,103.55],"fragments":[{"bbox_pdf":[234.5,78.33,360.78,103.55],"words":[3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348]}],"html":null,"kind":"paragraph","latex":"\\Re\\left(\\left(A(x)\\xi\\right)^{T}\\overline{\\xi}\\right)\\geq\\alpha\\... | CC-BY-4.0 | assets/2cf52662f92b7a5f4e19253c3eaef87ac8720e8aebe37912b7ffd3d209847209.pdf | 2cf52662f92b7a5f4e19253c3eaef87ac8720e8aebe37912b7ffd3d209847209 | arxiv:2608.30763 | formula | 9 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1"... | CC-BY-4.0 | assets/5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63.pdf | 5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63 | arxiv:2608.30763 | page | 18 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.96,146.27,140.1,11.96],"bbox_pdf":[226.96,683.66,367.06,695.62],"fragments":[{"bbox_pdf":[226.96,683.66,367.06,695.62],"words":[6207,6208,6209,6210,6212,6213,6214,6215,6216]}],"html":null,"kind":"paragraph","latex":"\\exists\\delta,M>0\\ :\\ \\delta\\ \\leq\\ \\phi\\ \\leq\\ M","level":null,"list_... | CC-BY-4.0 | assets/5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63.pdf | 5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63 | arxiv:2608.30763 | formula | 18 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[218.41,425.41,300.33,39.02],"bbox_pdf":[218.41,377.46,518.75,416.48],"fragments":[{"bbox_pdf":[218.41,377.46,518.75,416.48],"words":[6354,6355,6356,6357,6358,6359,6361,6362,6363,6364]}],"html":null,"kind":"paragraph","latex":"a(A,0)(u,v)=\\int_{\\Omega}A\\nabla u\\cdot\\overline{\\nabla v}\\,\\mathrm{... | CC-BY-4.0 | assets/5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63.pdf | 5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63 | arxiv:2608.30763 | formula | 18 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[176.8,584.16,241.68,13.78],"bbox_pdf":[176.8,243.95,418.48,257.73],"fragments":[{"bbox_pdf":[176.8,243.95,418.48,257.73],"words":[6450,6451,6452,6453,6454,6455,6456,6457,6458,6459,6460,6461,6462,6463,6464]}],"html":null,"kind":"paragraph","latex":"0\\ \\leq\\ \\left(\\lambda+L(A,0)\\right)^{-1}u\\ \\l... | CC-BY-4.0 | assets/5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63.pdf | 5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63 | arxiv:2608.30763 | formula | 18 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[161.76,655.89,271.76,15.58],"bbox_pdf":[161.76,170.42,433.52,186.0],"fragments":[{"bbox_pdf":[161.76,170.42,433.52,186.0],"words":[6494,6495,6496,6497,6498,6499,6500,6501,6502,6503,6504,6505,6506,6507,6508,6509,6510]}],"html":null,"kind":"paragraph","latex":"v_{0}=\\left(\\lambda+L(A,0)\\right)^{-1}u\... | CC-BY-4.0 | assets/5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63.pdf | 5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63 | arxiv:2608.30763 | formula | 18 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[158.57,714.12,278.14,39.02],"bbox_pdf":[158.57,88.75,436.71,127.77],"fragments":[{"bbox_pdf":[158.57,88.75,436.71,127.77],"words":[6538,6539,6540,6541,6542,6543,6544,6545,6546,6547,6548,6549,6550,6551,6552,6553,6554,6555,6556,6557]}],"html":null,"kind":"paragraph","latex":"v_{C}=\\left(\\lambda+L(A,-C... | CC-BY-4.0 | assets/5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63.pdf | 5d551a4ee500dc2cd23bca590a1e3c9d7174aeaa8e5c51f52f19ac736dc17f63 | arxiv:2608.30763 | formula | 18 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1"... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | page | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[183.21,107.4,228.85,28.71],"bbox_pdf":[183.21,705.78,412.06,734.49],"fragments":[{"bbox_pdf":[183.21,705.78,412.06,734.49],"words":[6886,6887,6888,6889,6890,6891,6893]}],"html":null,"kind":"paragraph","latex":"\\left\\|C\\right\\|_{\\mathrm{L}^{p}\\to\\mathrm{L}^{p}}\\ \\leq\\ \\max\\left\\{\\left\\|C... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[218.42,220.1,158.45,15.44],"bbox_pdf":[218.42,606.35,376.86,621.79],"fragments":[{"bbox_pdf":[218.42,606.35,376.86,621.79],"words":[6967,6968,6969,6970,6971,6972,6973]}],"html":null,"kind":"paragraph","latex":"\\left|Cu\\right|\\ \\leq\\ C\\left|u\\right|\\ \\leq\\left\\|u\\right\\|_{\\mathrm{L}^{%\n\... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[169.94,272.9,254.41,15.44],"bbox_pdf":[169.94,553.55,424.34,568.99],"fragments":[{"bbox_pdf":[169.94,553.55,424.34,568.99],"words":[6989,6990,6991,6992,6993,6994]}],"html":null,"kind":"paragraph","latex":"\\left\\|C{\\bf 1}\\right\\|_{\\mathrm{L}^{\\infty}(\\partial\\Omega)}\\leq\\left\\|C%\n\\right\\... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[204.24,401.73,186.8,23.43],"bbox_pdf":[204.24,416.73,391.04,440.16],"fragments":[{"bbox_pdf":[204.24,416.73,391.04,440.16],"words":[7047,7048,7049,7050,7051,7052,7053,7054,7055,7056,7057,7058,7059,7060]}],"html":null,"kind":"paragraph","latex":"R_{\\lambda}=\\left(\\lambda+L(A,-C)\\right)^{-1}\\in\\ma... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[196.29,485.92,202.7,21.64],"bbox_pdf":[196.29,334.33,398.99,355.97],"fragments":[{"bbox_pdf":[196.29,334.33,398.99,355.97],"words":[7114,7115,7116,7117,7118,7119,7120,7121,7122,7123,7125,7126,7127,7128,7129,7130,7131]}],"html":null,"kind":"paragraph","latex":"\\mathcal{K}=\\left\\{u\\in\\mathrm{L}^{2}... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[177.69,585.31,239.4,16.0],"bbox_pdf":[177.69,240.58,417.09,256.58],"fragments":[{"bbox_pdf":[177.69,240.58,417.09,256.58],"words":[7166,7167,7168,7169,7170,7171,7172,7173,7174,7175,7176]}],"html":null,"kind":"paragraph","latex":"\\Re a(A,-C)(u,u)+\\lambda\\|u\\|_{\\mathrm{L}^{2}(\\Omega,\\mathbb{R})}^... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[212.86,666.19,169.56,39.02],"bbox_pdf":[212.86,136.68,382.42,175.7],"fragments":[{"bbox_pdf":[212.86,136.68,382.42,175.7],"words":[7213,7214,7215,7216,7217,7218,7219,7220,7221,7222,7223,7224,7225]}],"html":null,"kind":"paragraph","latex":"R_{\\lambda}v=\\int_{0}^{\\infty}\\mathrm{e}^{-\\lambda t}\\mat... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[200.64,750.1,194.01,14.7],"bbox_pdf":[200.64,77.09,394.65,91.79],"fragments":[{"bbox_pdf":[200.64,77.09,394.65,91.79],"words":[7256,7257,7258,7259,7260,7261,7262,7263,7264,7265,7266,7267]}],"html":null,"kind":"paragraph","latex":"u=R_{\\lambda}f\\in D\\left(L(A,-C)\\right)\\subset H^{1}(\\Omega,\\math... | CC-BY-4.0 | assets/15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f.pdf | 15385c06f67bf437bdb3df5972e56a4b4f45ab4bffff5cff55d45f7c9ac2ee2f | arxiv:2608.30763 | formula | 20 | {"arxiv_id":"2608.30763","authors":"Christoph Schwerdt","title":"Ultracontractivity of heat semigroups with non-local Robin boundary conditions via two-sided bounds for a positive eigenfunction","url":"https://arxiv.org/abs/2608.30763v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30780","authors":"Hideya Watanabe","title":"Kashiwara--Nakashima tableaux, Gelfand--Tsetlin patterns, and quantum symmetric pairs","url":"https://arxiv.org/abs/2608.30780v1","version":1},"blocks":[{"bbox":[70.87,62.13,9... | CC-BY-4.0 | assets/3f95b1bdbb892780b261522a911e0ecc734520441836c0836e8cead7947e504f.pdf | 3f95b1bdbb892780b261522a911e0ecc734520441836c0836e8cead7947e504f | arxiv:2608.30780 | page | 26 | {"arxiv_id":"2608.30780","authors":"Hideya Watanabe","title":"Kashiwara--Nakashima tableaux, Gelfand--Tsetlin patterns, and quantum symmetric pairs","url":"https://arxiv.org/abs/2608.30780v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30780","authors":"Hideya Watanabe","title":"Kashiwara--Nakashima tableaux, Gelfand--Tsetlin patterns, and quantum symmetric pairs","url":"https://arxiv.org/abs/2608.30780v1","version":1},"blocks":[{"bbox":[137.67,62.13,... | CC-BY-4.0 | assets/853c624db3754a23aee04b8014d231246f477bd7e58ce31546d069abea8250f3.pdf | 853c624db3754a23aee04b8014d231246f477bd7e58ce31546d069abea8250f3 | arxiv:2608.30780 | page | 27 | {"arxiv_id":"2608.30780","authors":"Hideya Watanabe","title":"Kashiwara--Nakashima tableaux, Gelfand--Tsetlin patterns, and quantum symmetric pairs","url":"https://arxiv.org/abs/2608.30780v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30803","authors":"Jingyu Ke (Shanghai Jiao Tong University), Ling-I Wu (Shanghai Jiao Tong University), and Guoqiang Li (Shanghai Jiao Tong University)","title":"Schwarz: Solver-Aware Agentic Program Verification","url"... | CC-BY-4.0 | assets/1088f51118165152087072912e907847843872aa42954ac3b147dbe9f01f38ed.pdf | 1088f51118165152087072912e907847843872aa42954ac3b147dbe9f01f38ed | arxiv:2608.30803 | page | 7 | {"arxiv_id":"2608.30803","authors":"Jingyu Ke (Shanghai Jiao Tong University), Ling-I Wu (Shanghai Jiao Tong University), and Guoqiang Li (Shanghai Jiao Tong University)","title":"Schwarz: Solver-Aware Agentic Program Verification","url":"https://arxiv.org/abs/2608.30803v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30803","authors":"Jingyu Ke (Shanghai Jiao Tong University), Ling-I Wu (Shanghai Jiao Tong University), and Guoqiang Li (Shanghai Jiao Tong University)","title":"Schwarz: Solver-Aware Agentic Program Verification","url"... | CC-BY-4.0 | assets/1b5ba516284b3613805f293e7e03a702e0986fdd133ed3eb5de889ca1501e99a.pdf | 1b5ba516284b3613805f293e7e03a702e0986fdd133ed3eb5de889ca1501e99a | arxiv:2608.30803 | page | 10 | {"arxiv_id":"2608.30803","authors":"Jingyu Ke (Shanghai Jiao Tong University), Ling-I Wu (Shanghai Jiao Tong University), and Guoqiang Li (Shanghai Jiao Tong University)","title":"Schwarz: Solver-Aware Agentic Program Verification","url":"https://arxiv.org/abs/2608.30803v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2},"blocks":[{"bbox":[248.65,49.09,114.69,8.97],"bbox_pdf":[24... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | page | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[72.0,142.93,325.24,28.82],"bbox_pdf":[72.0,620.25,397.24,649.07],"fragments":[{"bbox_pdf":[72.0,620.25,397.24,649.07],"words":[813,814,815,816,817,818,819,820,821,822,823,824,825]}],"html":null,"kind":"paragraph","latex":"\\displaystyle D(\\Omega)\\sigma_{k}(\\Omega)\\leq C(n)k^{2}\\left(\\frac{|\\Ome... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | formula | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[71.99,311.75,288.97,16.27],"bbox_pdf":[71.99,463.98,360.97,480.25],"fragments":[{"bbox_pdf":[71.99,463.98,360.97,480.25],"words":[898,899,900,901,902,903,904,905]}],"html":null,"kind":"paragraph","latex":"\\displaystyle|\\Omega|^{\\frac{1}{n}}\\sigma_{k}(\\Omega)\\leq C(n)k^{\\frac{1}{n-1}}.","level":... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | formula | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[219.78,394.13,172.45,40.6],"bbox_pdf":[219.78,357.27,392.22,397.87],"fragments":[{"bbox_pdf":[219.78,357.27,392.22,397.87],"words":[966,967,968,969,970,971,972,973,974,975]}],"html":null,"kind":"paragraph","latex":"D(\\Omega)\\sigma_{k}(\\Omega)\\leq C(n)k^{\\alpha}\\left(\\frac{|\\Omega|^{\\frac{1}{n... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | formula | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[186.86,458.88,238.28,28.24],"bbox_pdf":[186.86,304.88,425.14,333.12],"fragments":[{"bbox_pdf":[186.86,304.88,425.14,333.12],"words":[983,984,985,986,987,989,991,992,993,994,995,996,997,998]}],"html":null,"kind":"paragraph","latex":"(1,0),\\qquad(2,\\frac{n}{n-1}),\\qquad\\text{and}\\qquad(\\frac{1}{n-... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | formula | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.98,501.56,328.03,44.66],"bbox_pdf":[141.98,245.78,470.02,290.44],"fragments":[{"bbox_pdf":[141.98,245.78,470.02,290.44],"words":[1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1026,1027,1028,1029,1030,1031,1032,1033,1034]}],"html":null,"kind":"paragraph","latex":"\\alph... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | formula | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[198.46,616.91,215.08,28.24],"bbox_pdf":[198.46,146.84,413.54,175.09],"fragments":[{"bbox_pdf":[198.46,146.84,413.54,175.09],"words":[1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104]}],"html":null,"kind":"paragraph","latex":"\\alpha_{\\ast}(\\beta)=1+\\frac{n-1... | CC-BY-4.0 | assets/c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16.pdf | c79c8368d0fd48513365a3837219514af72a7fdcc71232a816a7d326dc386f16 | arxiv:2608.30807 | formula | 3 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2},"blocks":[{"bbox":[248.65,49.09,114.69,8.97],"bbox_pdf":[24... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | page | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.83,225.37,170.34,40.24],"bbox_pdf":[220.83,526.39,391.17,566.63],"fragments":[{"bbox_pdf":[220.83,526.39,391.17,566.63],"words":[4788,4789,4790,4791,4792,4793,4794,4798,4799]}],"html":null,"kind":"paragraph","latex":"a_{i}:=\\int_{I_{i}}a(t)dt,\\qquad i=1,\\ldots,2k.","level":null,"list_depth":nul... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[282.99,287.12,46.01,28.24],"bbox_pdf":[282.99,476.64,329.01,504.88],"fragments":[{"bbox_pdf":[282.99,476.64,329.01,504.88],"words":[4808,4809,4810,4811,4812]}],"html":null,"kind":"paragraph","latex":"a_{i}>\\frac{|\\Omega|}{k},","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true}... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[71.99,353.93,257.11,28.24],"bbox_pdf":[71.99,409.83,329.1,438.07],"fragments":[{"bbox_pdf":[71.99,409.83,329.1,438.07],"words":[4828,4829,4830,4831,4832,4833]}],"html":null,"kind":"paragraph","latex":"\\displaystyle a_{i}\\leq\\frac{|\\Omega|}{k}.","level":null,"list_depth":null,"match":{"src_placed":... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[72.0,439.27,323.37,38.49],"bbox_pdf":[72.0,314.24,395.37,352.73],"fragments":[{"bbox_pdf":[72.0,314.24,395.37,352.73],"words":[4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4905,4906,4907,4908,4909]}],"html":null,"kind":"paragraph","latex":"\\displaystyle\\frac{\\int_... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[281.54,499.81,48.92,28.24],"bbox_pdf":[281.54,263.95,330.46,292.19],"fragments":[{"bbox_pdf":[281.54,263.95,330.46,292.19],"words":[4915,4916,4917,4918,4919]}],"html":null,"kind":"paragraph","latex":"|I_{i}|=\\frac{D}{2k},","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"ord... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[189.49,547.47,228.07,37.01],"bbox_pdf":[189.49,207.51,417.56,244.53],"fragments":[{"bbox_pdf":[189.49,207.51,417.56,244.53],"words":[4932,4933,4934,4935,4936,4937,4938,4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4952,4953]}],"html":null,"kind":"paragraph","latex":"\\left(\\frac{|\\Omeg... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[174.92,639.24,262.17,16.27],"bbox_pdf":[174.92,136.48,437.09,152.76],"fragments":[{"bbox_pdf":[174.92,136.48,437.09,152.76],"words":[4995,4996,4997,4998,4999,5000,5001,5003,5004,5005,5006,5007,5008,5009,5013,5014,5015]}],"html":null,"kind":"paragraph","latex":"\\mathcal{R}_{\\Omega}(u_{i})\\lesssim_{n... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[235.14,683.19,136.78,16.27],"bbox_pdf":[235.14,92.54,371.92,108.81],"fragments":[{"bbox_pdf":[235.14,92.54,371.92,108.81],"words":[5021,5022,5023,5024,5025,5026,5027,5029,5030,5031,5032]}],"html":null,"kind":"paragraph","latex":"\\sigma_{k}(\\Omega)\\lesssim_{n}k^{2}|\\Omega|^{\\frac{1}{n-1}}D^{-2-\\f... | CC-BY-4.0 | assets/02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91.pdf | 02e4e28caf1ffebb4caf08a3fa6bd3762f0d1609d6b8b7f877b0d5782fd79a91 | arxiv:2608.30807 | formula | 13 | {"arxiv_id":"2608.30807","authors":"Pingxin Gu, Yao Wan","title":"Isodiametric-type upper bounds for Steklov eigenvalues","url":"https://arxiv.org/abs/2608.30807v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1},"blocks":[{"bbox":[264.67,71.0,79.54,8.97],"bbox_pdf":[264.67... | CC-BY-4.0 | assets/93099c68434ae8b4d83efcfe054e1146ca90d96be682307741e16727dff227be.pdf | 93099c68434ae8b4d83efcfe054e1146ca90d96be682307741e16727dff227be | arxiv:2608.30847 | page | 4 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[120.21,131.22,359.85,14.7],"bbox_pdf":[120.21,646.08,480.07,660.78],"fragments":[{"bbox_pdf":[120.21,646.08,480.07,660.78],"words":[943,944,945,946,947,948,949,950,951,953,954,955,956,957,958,959,960,961]}],"html":null,"kind":"paragraph","latex":"u(x_{0}+r\\theta)=P(r\\theta)+O(r^{\\lambda+\\delta}),\... | CC-BY-4.0 | assets/93099c68434ae8b4d83efcfe054e1146ca90d96be682307741e16727dff227be.pdf | 93099c68434ae8b4d83efcfe054e1146ca90d96be682307741e16727dff227be | arxiv:2608.30847 | formula | 4 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[200.19,195.37,199.9,28.24],"bbox_pdf":[200.19,568.39,400.09,596.63],"fragments":[{"bbox_pdf":[200.19,568.39,400.09,596.63],"words":[980,981,982,983,984,985,986,987,988,989,990,991,993]}],"html":null,"kind":"paragraph","latex":"\\partial_{r}\\log|Du(x_{0}+r\\theta)|=\\frac{\\lambda-1}{r}+O(r^{-1+\\delt... | CC-BY-4.0 | assets/93099c68434ae8b4d83efcfe054e1146ca90d96be682307741e16727dff227be.pdf | 93099c68434ae8b4d83efcfe054e1146ca90d96be682307741e16727dff227be | arxiv:2608.30847 | formula | 4 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1},"blocks":[{"bbox":[135.07,71.0,338.73,8.97],"bbox_pdf":[135.0... | CC-BY-4.0 | assets/5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292.pdf | 5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292 | arxiv:2608.30847 | page | 7 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[252.2,123.01,104.49,29.84],"bbox_pdf":[252.2,639.15,356.69,668.99],"fragments":[{"bbox_pdf":[252.2,639.15,356.69,668.99],"words":[1939,1940,1941,1942,1943,1944,1945,1946,1947]}],"html":null,"kind":"paragraph","latex":"\\partial_{\\nu}u-\\frac{\\lambda}{s}\\bigl{(}u-u(x_{0})\\bigr{)}.","level":null,"li... | CC-BY-4.0 | assets/5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292.pdf | 5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292 | arxiv:2608.30847 | formula | 7 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[117.37,486.58,374.15,14.7],"bbox_pdf":[117.37,290.72,491.52,305.42],"fragments":[{"bbox_pdf":[117.37,290.72,491.52,305.42],"words":[2190,2191,2192,2193,2194,2195,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2209,2210,2211,2212,2213]}],"html":null,"kind":"paragraph","latex":"B_{r}(x_{0})=\\{x... | CC-BY-4.0 | assets/5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292.pdf | 5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292 | arxiv:2608.30847 | formula | 7 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[270.32,538.72,68.25,13.75],"bbox_pdf":[270.32,239.53,338.57,253.28],"fragments":[{"bbox_pdf":[270.32,239.53,338.57,253.28],"words":[2234,2235,2236,2238]}],"html":null,"kind":"paragraph","latex":"\\partial_{\\nu}u=Du\\cdot\\nu.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},... | CC-BY-4.0 | assets/5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292.pdf | 5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292 | arxiv:2608.30847 | formula | 7 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.66,604.75,133.56,39.02],"bbox_pdf":[237.66,148.23,371.22,187.25],"fragments":[{"bbox_pdf":[237.66,148.23,371.22,187.25],"words":[2271,2272,2273,2274,2276,2277,2278,2279,2280]}],"html":null,"kind":"paragraph","latex":"\\int_{\\Omega}|Du|^{p-2}Du\\cdot D\\varphi\\,dx=0","level":null,"list_depth":nul... | CC-BY-4.0 | assets/5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292.pdf | 5324a03bedd4a1727754df1606e35a17fae6c536b4e3e1bde07ca94e07d62292 | arxiv:2608.30847 | formula | 7 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1},"blocks":[{"bbox":[84.76,71.0,9.22,8.97],"bbox_pdf":[84.76,71... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | page | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[268.3,113.73,72.28,11.96],"bbox_pdf":[268.3,666.31,340.58,678.27],"fragments":[{"bbox_pdf":[268.3,666.31,340.58,678.27],"words":[2996,2997,2998]}],"html":null,"kind":"paragraph","latex":"\\operatorname{div}(ADu)=0","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":3,"ro... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[181.29,143.93,246.3,40.13],"bbox_pdf":[181.29,607.94,427.59,648.07],"fragments":[{"bbox_pdf":[181.29,607.94,427.59,648.07],"words":[3005,3006,3007,3008,3009,3010,3011,3012,3014,3015,3016,3017]}],"html":null,"kind":"paragraph","latex":"0=\\int_{B_{r}(x_{0})}\\operatorname{div}(vADu)\\,dx-\\int_{B_{r}(x... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[263.31,238.45,82.27,13.75],"bbox_pdf":[263.31,539.8,345.58,553.55],"fragments":[{"bbox_pdf":[263.31,539.8,345.58,553.55],"words":[3054,3056]}],"html":null,"kind":"paragraph","latex":"B_{r}(x_{0})\\setminus\\overline{B_{\\varepsilon}(x_{0})}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"v... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[258.73,268.65,91.42,40.13],"bbox_pdf":[258.73,483.22,350.15,523.35],"fragments":[{"bbox_pdf":[258.73,483.22,350.15,523.35],"words":[3062,3063,3064,3065]}],"html":null,"kind":"paragraph","latex":"\\int_{\\partial B_{\\varepsilon}(x_{0})}Av\\partial_{\\nu}u\\,dS.","level":null,"list_depth":null,"match":... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.0,332.93,160.58,12.91],"bbox_pdf":[220.0,446.16,380.58,459.07],"fragments":[{"bbox_pdf":[220.0,446.16,380.58,459.07],"words":[3082,3083,3084,3085,3087,3088,3089,3090]}],"html":null,"kind":"paragraph","latex":"|v|=O(\\varepsilon^{\\lambda}),\\qquad|Du|=O(\\varepsilon^{\\lambda-1}).","level":null,"l... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[232.1,374.04,144.69,12.91],"bbox_pdf":[232.1,405.05,376.78,417.96],"fragments":[{"bbox_pdf":[232.1,405.05,376.78,417.96],"words":[3104,3105,3106,3107,3108,3109,3110,3111,3112]}],"html":null,"kind":"paragraph","latex":"C\\varepsilon\\,\\varepsilon^{\\lambda}\\,\\varepsilon^{(p-1)(\\lambda-1)}=C%\n\\var... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[195.25,504.67,218.38,40.13],"bbox_pdf":[195.25,247.2,413.63,287.33],"fragments":[{"bbox_pdf":[195.25,247.2,413.63,287.33],"words":[3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201]}],"html":null,"kind":"paragraph","latex":"D^{\\prime}(r)=\\frac{2-p}{r}D(r)+p\\int_{\\part... | CC-BY-4.0 | assets/7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961.pdf | 7b3b6a47ab8ac05cc5269d943094edceb5f00ed2741d36a83b9fd9970364f961 | arxiv:2608.30847 | formula | 10 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1},"blocks":[{"bbox":[135.07,71.0,338.73,8.97],"bbox_pdf":[135.0... | CC-BY-4.0 | assets/9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300.pdf | 9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300 | arxiv:2608.30847 | page | 15 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[168.18,188.07,272.02,14.7],"bbox_pdf":[168.18,589.24,440.2,603.93],"fragments":[{"bbox_pdf":[168.18,589.24,440.2,603.93],"words":[4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420]}],"html":null,"kind":"paragraph","latex":"|u(x_{0}+r\\theta)|\\leq Cr^{\\lambda_{N}(p)},\\qquad\... | CC-BY-4.0 | assets/9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300.pdf | 9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300 | arxiv:2608.30847 | formula | 15 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[152.23,548.11,304.42,40.71],"bbox_pdf":[152.23,203.17,456.65,243.89],"fragments":[{"bbox_pdf":[152.23,203.17,456.65,243.89],"words":[4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701]}],"html":null,"kind":"paragraph","latex":"N_{\\ast}^{\\prime}(s)+\\Theta(s)N_{... | CC-BY-4.0 | assets/9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300.pdf | 9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300 | arxiv:2608.30847 | formula | 15 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[144.45,604.69,321.17,40.71],"bbox_pdf":[144.45,146.6,465.63,187.31],"fragments":[{"bbox_pdf":[144.45,146.6,465.63,187.31],"words":[4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724]}],"html":null,"kind":"paragraph","latex":"\\frac{d}{ds}\\lef... | CC-BY-4.0 | assets/9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300.pdf | 9e4f26753e7764aa5c21e85dd485279c106ba4c45f97e0ce6db9112914258300 | arxiv:2608.30847 | formula | 15 | {"arxiv_id":"2608.30847","authors":"Yi Ru-Ya Zhang","title":"An Almgren-type formula for planar $p$-harmonic functions","url":"https://arxiv.org/abs/2608.30847v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"Lupus. 2023 Apr 10;32(6):737–45. doi: 10.1177/09612033231168477","doi":"10.1177/09612033231168477","journal":"Lupus","licence_code":"CC BY","pmcid":"PMC10189815","retrieved":"2026-10-25","service":"AWS Open Da... | CC-BY-4.0 | assets/61cec4f5ddb1f88221818459b80d52e0e34794bf7aea1539c4cfe46908a3ba2d.pdf | 61cec4f5ddb1f88221818459b80d52e0e34794bf7aea1539c4cfe46908a3ba2d | pmc:PMC10189815 | page | 3 | {"authors":null,"citation":"Lupus. 2023 Apr 10;32(6):737–45. doi: 10.1177/09612033231168477","doi":"10.1177/09612033231168477","journal":"Lupus","licence_code":"CC BY","pmcid":"PMC10189815","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","title":"In-person versus virtua... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"Lupus. 2023 Apr 10;32(6):737–45. doi: 10.1177/09612033231168477","doi":"10.1177/09612033231168477","journal":"Lupus","licence_code":"CC BY","pmcid":"PMC10189815","retrieved":"2026-10-25","service":"AWS Open Da... | CC-BY-4.0 | assets/b3bdb70de2f7f81e90cbf54ce56a2fac24ad4b793ffb2cc228028e82ddb96a83.pdf | b3bdb70de2f7f81e90cbf54ce56a2fac24ad4b793ffb2cc228028e82ddb96a83 | pmc:PMC10189815 | page | 7 | {"authors":null,"citation":"Lupus. 2023 Apr 10;32(6):737–45. doi: 10.1177/09612033231168477","doi":"10.1177/09612033231168477","journal":"Lupus","licence_code":"CC BY","pmcid":"PMC10189815","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","title":"In-person versus virtua... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"J Vasc Access. 2021 Aug 16;24(3):452–7. doi: 10.1177/11297298211039447","doi":"10.1177/11297298211039447","journal":"The Journal of Vascular Access","licence_code":"CC BY","pmcid":"PMC10189829","retrieved":"20... | CC-BY-4.0 | assets/a1fbb6ae6bf82a7cdaaa51a24203531aee4a83d3e576ee672a3781511f5eac46.pdf | a1fbb6ae6bf82a7cdaaa51a24203531aee4a83d3e576ee672a3781511f5eac46 | pmc:PMC10189829 | page | 4 | {"authors":null,"citation":"J Vasc Access. 2021 Aug 16;24(3):452–7. doi: 10.1177/11297298211039447","doi":"10.1177/11297298211039447","journal":"The Journal of Vascular Access","licence_code":"CC BY","pmcid":"PMC10189829","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)",... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"J Exp Bot. 2023 May 27;74(19):6176–87. doi: 10.1093/jxb/erad189","doi":"10.1093/jxb/erad189","journal":"Journal of Experimental Botany","licence_code":"CC BY","pmcid":"PMC10575697","retrieved":"2026-10-25","se... | CC-BY-4.0 | assets/fce924e97cc0cc643b2c229528c59a8e0a60be746113d8e3018ce0749749b920.pdf | fce924e97cc0cc643b2c229528c59a8e0a60be746113d8e3018ce0749749b920 | pmc:PMC10575697 | page | 6 | {"authors":null,"citation":"J Exp Bot. 2023 May 27;74(19):6176–87. doi: 10.1093/jxb/erad189","doi":"10.1093/jxb/erad189","journal":"Journal of Experimental Botany","licence_code":"CC BY","pmcid":"PMC10575697","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","title":"Impr... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"J Exp Bot. 2023 Jul 14;74(19):6052–68. doi: 10.1093/jxb/erad268","doi":"10.1093/jxb/erad268","journal":"Journal of Experimental Botany","licence_code":"CC BY","pmcid":"PMC10575705","retrieved":"2026-10-25","se... | CC-BY-4.0 | assets/204dc20a2834fa38c7059ad9d83e7f8222b1dd75a5477e66e2086faacf49e432.pdf | 204dc20a2834fa38c7059ad9d83e7f8222b1dd75a5477e66e2086faacf49e432 | pmc:PMC10575705 | page | 5 | {"authors":null,"citation":"J Exp Bot. 2023 Jul 14;74(19):6052–68. doi: 10.1093/jxb/erad268","doi":"10.1093/jxb/erad268","journal":"Journal of Experimental Botany","licence_code":"CC BY","pmcid":"PMC10575705","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","title":"Regu... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"J Clin Invest. 2023 Oct 16;133(20):e174319. doi: 10.1172/JCI174319","doi":"10.1172/JCI174319","journal":"The Journal of Clinical Investigation","licence_code":"CC BY","pmcid":"PMC10575717","retrieved":"2026-10... | CC-BY-4.0 | assets/59475ed5e835a315e356c9175d800bb980b47d2eafb0d7a194575516ee4f234e.pdf | 59475ed5e835a315e356c9175d800bb980b47d2eafb0d7a194575516ee4f234e | pmc:PMC10575717 | page | 2 | {"authors":null,"citation":"J Clin Invest. 2023 Oct 16;133(20):e174319. doi: 10.1172/JCI174319","doi":"10.1172/JCI174319","journal":"The Journal of Clinical Investigation","licence_code":"CC BY","pmcid":"PMC10575717","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","titl... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"J Clin Invest. 2023 Oct 16;133(20):e171268. doi: 10.1172/JCI171268","doi":"10.1172/JCI171268","journal":"The Journal of Clinical Investigation","licence_code":"CC BY","pmcid":"PMC10575720","retrieved":"2026-10... | CC-BY-4.0 | assets/7c695dd4e024f326f0f2d70de91be1d951409117269567725b12fdfa64d59101.pdf | 7c695dd4e024f326f0f2d70de91be1d951409117269567725b12fdfa64d59101 | pmc:PMC10575720 | page | 2 | {"authors":null,"citation":"J Clin Invest. 2023 Oct 16;133(20):e171268. doi: 10.1172/JCI171268","doi":"10.1172/JCI171268","journal":"The Journal of Clinical Investigation","licence_code":"CC BY","pmcid":"PMC10575720","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","titl... | CC-BY | pmc-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"authors":null,"citation":"J Clin Invest. 2023 Oct 16;133(20):e171268. doi: 10.1172/JCI171268","doi":"10.1172/JCI171268","journal":"The Journal of Clinical Investigation","licence_code":"CC BY","pmcid":"PMC10575720","retrieved":"2026-10... | CC-BY-4.0 | assets/311fb00f6b13b58ace1c17f1626231b30bffc3f761ae9cfacb2196e75fd534f6.pdf | 311fb00f6b13b58ace1c17f1626231b30bffc3f761ae9cfacb2196e75fd534f6 | pmc:PMC10575720 | page | 3 | {"authors":null,"citation":"J Clin Invest. 2023 Oct 16;133(20):e171268. doi: 10.1172/JCI171268","doi":"10.1172/JCI171268","journal":"The Journal of Clinical Investigation","licence_code":"CC BY","pmcid":"PMC10575720","retrieved":"2026-10-25","service":"AWS Open Data, s3://pmc-oa-opendata (PMC Open Access Subset)","titl... | CC-BY | pmc-aligned/dev |
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