id string | image image | latex string | target_text string | arxiv_id string | paper_version string | title string | authors list | license_spdx string | license_uri string | arxiv_url string | flags list | image_sha256 string | bitmap_sha256 string | width int32 | height int32 | group string | mining_class string | control_glyph string | tags list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
00012d2ae7ebbf59 | 1 + \Psi_N(z) = \prod_{a\in A_{+,N}} \left(1+\frac{z}{a}\right), | ```latex
1 + \Psi_N(z) = \prod_{a\in A_{+,N}} \left(1+\frac{z}{a}\right),
``` | 2502.01109 | v2 | Geometric Gauss Sums and Gross-Koblitz Formula over Function Fields | [
"Ting-Wei Chang"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2502.01109v2 | [
"greek"
] | 3d5e5ac931de73b8894019b9e133c72a4eee3b3f2e9c179fb996d78481f34512 | 6e4084603e209c111d303b2d1b931655f4a476fc99fc54918da53b4c0dcf4cb9 | 637 | 146 | replay | null | null | [] | |
0011d5084cd2b0a6 | R_{\mathbf{A}} (\mathbf{x}) = \frac{\mathbf{x}^T\mathbf{A}\mathbf{x}}{\mathbf{x}^T \mathbf{x}}. | ```latex
R_{\mathbf{A}} (\mathbf{x}) = \frac{\mathbf{x}^T\mathbf{A}\mathbf{x}}{\mathbf{x}^T \mathbf{x}}.
``` | 2510.06653 | v2 | Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems | [
"Paulo Akira F. Enabe",
"Rodrigo Provasi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.06653v2 | [
"decoration"
] | 8bde201e83b0229a44b9cce7c03906606bdc580afa81c369607a26fcab32cd1a | 8a5602dbd7b3cca29a28eceb2cf31a29e36a16d323b4df7f14c218b582bb2654 | 370 | 129 | replay | null | null | [] | |
00135fe5d87a2d47 | \mathcal{R}_{p,s}(\Omega)\le C \tau_\Omega^{p-\frac{D}{s}}. | ```latex
\mathcal{R}_{p,s}(\Omega)\le C \tau_\Omega^{p-\frac{D}{s}}.
``` | 2607.08405 | v1 | A capacitary approach to Lyapunov-type inequalities for elliptic problems on weighted graphs | [
"Mohamed Jleli",
"Bessem Samet"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2607.08405v1 | [
"greek",
"decoration"
] | bf4ff891a7a5eba93e6736a3b3b8ba33116b42a37f1f49d25bedb67e224d60a1 | 478b9ba1ba22f4dd05fc0eb91278f398e8d2711febc88c3f9c0b38787478418c | 405 | 95 | replay | null | null | [] | |
00183339db9cc34d | \mu_{xy}^{(k)}(\mathcal M^+)-\mu_{xy}^{(k)}(\mathcal M^-) &= x^\top \left(\mathcal M_{\bullet,\bullet,k}^{+,(d)} -\mathcal M_{\bullet,\bullet,k}^{-,(d)}\right)y = (\gamma_{\max}-\gamma_{\min})x^\top x\, y^\top y = \gamma_{\max}-\gamma_{\min}. | ```latex
\mu_{xy}^{(k)}(\mathcal M^+)-\mu_{xy}^{(k)}(\mathcal M^-) &= x^\top \left(\mathcal M_{\bullet,\bullet,k}^{+,(d)} -\mathcal M_{\bullet,\bullet,k}^{-,(d)}\right)y = (\gamma_{\max}-\gamma_{\min})x^\top x\, y^\top y = \gamma_{\max}-\gamma_{\min}.
``` | 2607.06330 | v2 | Estimation of Linear Functionals in Multilayer Panels under Staggered Adoption | [
"Alberto Bordino",
"Thomas B. Berrett",
"Olga Klopp"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2607.06330v2 | [
"greek",
"decoration"
] | 60fb0f4af89ae8275e29401a1da09806c87e217b8f0fe13e6eb46bc2fdbf5864 | 710a979b3378cecaf05347611a59db7ab128e276ba6c44e5e0caa532e3d0a044 | 1,899 | 110 | replay | null | null | [] | |
002356381808df66 | |g^\top \Phi_{\mathrm{up}} \, y| & \le c_1 \frac{\sigma^2 \sqrt{T(r + \zeta_N)}}{\gamma_\mathrm{min} \, \rho_N^{1/2}} \, \|g\|_2 \, + c_1 \, \frac{\sigma \sqrt{r + \zeta_N}}{\gamma_\mathrm{min} \, \rho_N^{1/2}} \|W_{\mathrm{up}}^\top g\|_2 + c_1 \frac{\sigma^2 T}{\gamma_\mathrm{min}\, \rho_N^{1/2}} \, \|g\|_2 \, \|V^\t... | ```latex
|g^\top \Phi_{\mathrm{up}} \, y| & \le c_1 \frac{\sigma^2 \sqrt{T(r + \zeta_N)}}{\gamma_\mathrm{min} \, \rho_N^{1/2}} \, \|g\|_2 \, + c_1 \, \frac{\sigma \sqrt{r + \zeta_N}}{\gamma_\mathrm{min} \, \rho_N^{1/2}} \|W_{\mathrm{up}}^\top g\|_2 + c_1 \frac{\sigma^2 T}{\gamma_\mathrm{min}\, \rho_N^{1/2}} \, \|g\|_2 ... | 2607.06330 | v2 | Estimation of Linear Functionals in Multilayer Panels under Staggered Adoption | [
"Alberto Bordino",
"Thomas B. Berrett",
"Olga Klopp"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2607.06330v2 | [
"greek",
"decoration"
] | a60a779223d38bbe318237372fbe32ff32f48b0a016d73b6f179431817c29a6c | 6ecf5f6d7988297912d166ecbfdb0735c2aeb952204f29fe43aa940870c4b963 | 1,814 | 313 | error | decoration | null | [] | |
00283378bcd16f4f | O^{st}_x(f):=\sum_{x \sim_{st}x'/\sim}O_{x'}(f) | ```latex
O^{st}_x(f):=\sum_{x \sim_{st}x'/\sim}O_{x'}(f)
``` | 2510.07845 | v1 | A description of the depth-$r$ Bernstein center for rational depths | [
"Sarbartha Bhattacharya",
"Tsao-Hsien Chen"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.07845v1 | [
"prime"
] | 16f48e1dacd74e1bf55ea22aeb305c207e39389d106dc10598693a5eb1ba1a45 | d9efd3521070dffee0017f07677153629b93440e0d94b38a408b857920bc96da | 529 | 137 | replay | null | null | [] | |
003f1172525fd091 | \widetilde{f}: \widetilde{\mathcal{M}} \to \widetilde{\mathcal{T}}, | ```latex
\widetilde{f}: \widetilde{\mathcal{M}} \to \widetilde{\mathcal{T}},
``` | 2412.19052 | v3 | A Novel Double Periodic Conformal Flattening Algorithm for Genus-One Surfaces | [
"Zhong-Heng Tan",
"Tiexiang Li",
"Wen-Wei Lin",
"Lok Ming Lui"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2412.19052v3 | [
"decoration"
] | 4c9e1573ca19aac976657734e646bdc630120192eac3a4729c835ed3884ac384 | 53c4610629dafd3a18ae503691034f18e3ed410fc14aca671a7bb5426faf0032 | 276 | 81 | replay | null | null | [] | |
0041aac22cf71844 | b^d-a^d=(b-a)(b^{d-1}+b^{d-2}a+\dots+ba^{d-2}+a^{d-1}) | ```latex
b^d-a^d=(b-a)(b^{d-1}+b^{d-2}a+\dots+ba^{d-2}+a^{d-1})
``` | 2501.13780 | v2 | Matrix Completion in Group Testing: Bounds and Simulations | [
"Trung-Khang Tran",
"Thach V. Bui"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2501.13780v2 | [
"plain"
] | 5a4a500ae6ebfd73dfbd09cb3284abee2e558447811991e7cd37ee630b74e248 | d485847bab6c2b02ca1604c04d1d5b6f7696b3c7f44675c8175f244e91bc92cf | 1,109 | 77 | replay | null | null | [] | |
00447d1570e1e196 | \frac{d}{dt}(M_{1,0} + M_{0,1}) = 0. | ```latex
\frac{d}{dt}(M_{1,0} + M_{0,1}) = 0.
``` | 2604.07793 | v1 | Error Analysis of a Conforming FEM for Multidimensional Fragmentation Equations | [
"Arushi",
"Naresh Kumar"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2604.07793v1 | [
"plain"
] | 65cec31c97c4094d5d8696bb21d482e1990da04c823ffab40fd2316ed60eb4c4 | 6b4841b6d3aef9e4535b864d7690c566d77b0a4c6f3c5f08646a7622e5f674b7 | 455 | 124 | replay | null | null | [] | |
004a67ab97eeb799 | \partial_t\varphi(t_0,x_0,y_0) + \mathcal Q^\star[\varphi](t_0,x_0,y_0)>0 . | ```latex
\partial_t\varphi(t_0,x_0,y_0) + \mathcal Q^\star[\varphi](t_0,x_0,y_0)>0 .
``` | 2505.08989 | v5 | Agency Problems and Adversarial Bilevel Optimization under Uncertainty and Cyber Threats | [
"Thibaut Mastrolia",
"Haoze Yan"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2505.08989v5 | [
"greek",
"decoration"
] | 6f96641f00350d66a77858b74cbdaa200e6b2681b5d5840df28d08e63a76c87e | 4a7ea98bbac5524e95fc9246e1fd208202637fab129b8147271a0f6136c7f5bb | 791 | 71 | error | decoration | null | [] | |
004e8f86b197a332 | \Big(-\!\!\!\!\!\!\!\int_{B_{3r}(g_0)}|u|^{p_0}\Big)^{1/p_0}\leq c_0\,\inf_{B_{r}}u. | ```latex
\Big(-\!\!\!\!\!\!\!\int_{B_{3r}(g_0)}|u|^{p_0}\Big)^{1/p_0}\leq c_0\,\inf_{B_{r}}u.
``` | 2506.07521 | v1 | Critical singular problems in Carnot groups | [
"Stefano Biagi",
"Mattia Galeotti",
"Eugenio Vecchi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2506.07521v1 | [
"plain"
] | 59f0fb48d00469d3387b9975226fd13a9b376031b832cbe6ab54c4473260b335 | 60a60117a54beb98b7dbde45d5ddfd465dd14e0de7f5be645163bdc76880a52d | 626 | 143 | error | other | null | [] | |
005a66415788c202 | z_1>s+\frac{|z|^2-s^2}{2(R+s)}. | ```latex
z_1>s+\frac{|z|^2-s^2}{2(R+s)}.
``` | 2602.22027 | v2 | Range expansion by growth and congestion | [
"Henri Berestycki",
"Antoine Mellet"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2602.22027v2 | [
"plain"
] | 5189b2c397773840a399ce9e8c2cde5726275d2439a26d59aaf15a078ab50d45 | 0ff1c03dd864cf44bc4e773ad3a74705cc7f6ea393bcdfedc0769f23bf6fa6c2 | 412 | 142 | replay | null | null | [] | |
00604037f4953b0e | \sqrt{1+\beta(\widetilde \sigma_i)^2 \sigma_t^2} + \alpha(\widetilde \sigma_i) \sigma_t \le \sqrt{1+ \frac{\tau(b)^4}{64b^4} \frac{\sigma_t^2}{\widetilde\sigma_i^2}} + \tau(b)\frac{\sigma_t}{\widetilde\sigma_i} \le 1+\tau(b)\left(1 +\frac{\tau(b)}{8b^2} \right)\frac{\sigma_t}{\widetilde \sigma_i} | ```latex
\sqrt{1+\beta(\widetilde \sigma_i)^2 \sigma_t^2} + \alpha(\widetilde \sigma_i) \sigma_t \le \sqrt{1+ \frac{\tau(b)^4}{64b^4} \frac{\sigma_t^2}{\widetilde\sigma_i^2}} + \tau(b)\frac{\sigma_t}{\widetilde\sigma_i} \le 1+\tau(b)\left(1 +\frac{\tau(b)}{8b^2} \right)\frac{\sigma_t}{\widetilde \sigma_i}
``` | 2403.09170 | v3 | Analysis of singular subspaces under random perturbations | [
"Ke Wang"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2403.09170v3 | [
"greek",
"decoration"
] | f87c71857f8e40ebda96cbd7ab10f667b68c1243cea5ad8fa705d0f68da6f70f | e5eb52a7d319cfe6d8dfa45e551f1d3283ab9a73a1cf703668fcf1b3b290a289 | 1,669 | 170 | replay | null | null | [] | |
006aca23f24d4d52 | \sum \limits_i \tilde{d}_i = \sum \limits_{i \in S^C} \tilde{d}_i + \sum \limits_{i \in S} \tilde{d}_i = \sum \limits_{i \in S^C}d_i + \sum \limits_{i \in S}a. | ```latex
\sum \limits_i \tilde{d}_i = \sum \limits_{i \in S^C} \tilde{d}_i + \sum \limits_{i \in S} \tilde{d}_i = \sum \limits_{i \in S^C}d_i + \sum \limits_{i \in S}a.
``` | 2510.06653 | v2 | Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems | [
"Paulo Akira F. Enabe",
"Rodrigo Provasi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.06653v2 | [
"decoration"
] | 2bf22e58a2b80d373ceccf5ecaf8da6b7b3ecec6a1cc0267136a064e558450cf | c1fdc647598a26bf4c096d1bb937a164e08679f42b61f741adb71e61a3d17259 | 889 | 132 | replay | null | null | [] | |
006b095ca7fa9b48 | T_{i,j}f(x) =x_i\frac{\partial f}{\partial x_j}-x_j\frac{\partial f}{\partial x_i}. | ```latex
T_{i,j}f(x) =x_i\frac{\partial f}{\partial x_j}-x_j\frac{\partial f}{\partial x_i}.
``` | 2604.26728 | v2 | $\mathcal H$-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball | [
"A. Ersin Üreyen"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2604.26728v2 | [
"plain"
] | 9900954d2ef9f8357f684c23dfc74569dd221d9128a0b70314e88be50c7f89f2 | 274a980a66e4f47d6ecf2904f6d8976892b084a043161d0451c0a9ce8e789e39 | 572 | 138 | replay | null | null | [] | |
007baffda9bd2167 | \begin{gathered} \mathbb{E}\Biggl[F(X_1,\dots,X_n)\prod_{i=0}^{m}\biggl(\mathop{\diamond}_{j=1}^N Z_{Ni+j}\biggr)\Biggr]\\ \qquad{}=\mathbb{E}\Biggl[F(X_1,\dots,X_n)\mathop{\diamond}_{j=1}^N Z_{Nm+j}\prod_{i=0}^{m-1}\biggl(\mathop{\diamond}_{j=1}^N Z_{Ni+j}\biggr)\Biggr]. \end{gathered} | ```latex
\begin{gathered} \mathbb{E}\Biggl[F(X_1,\dots,X_n)\prod_{i=0}^{m}\biggl(\mathop{\diamond}_{j=1}^N Z_{Ni+j}\biggr)\Biggr]\\ \qquad{}=\mathbb{E}\Biggl[F(X_1,\dots,X_n)\mathop{\diamond}_{j=1}^N Z_{Nm+j}\prod_{i=0}^{m-1}\biggl(\mathop{\diamond}_{j=1}^N Z_{Ni+j}\biggr)\Biggr]. \end{gathered}
``` | 2507.23737 | v3 | Renormalisation of Singular SPDEs with Correlated Coefficients | [
"Nicolas Clozeau",
"Harprit Singh"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.23737v3 | [
"decoration"
] | 4e526fa9a1ebb9bbe9df189bee0b7f9f5015f6bed5281551fe4d86e728b09695 | 6b73deae3c8686694330131aa74d83eb7b2fa59525a3206e6cc6947b520e2c9b | 1,051 | 338 | error | other | null | [] | |
007fa825ff3e90bd | \begin{aligned} h(\ell)^2 |w_{\ell,\delta}|_{H^2(\Omega)}^2 &\lesssim h(\ell)^2 \left( |w_{\ell,\delta} - w_\delta|_{H^2(\Omega)}^2 + |w_\delta|_{H^2(\Omega)}^2 \right) \\ &\lesssim h(\ell)^2 \left( \left( \tilde \beta_\ell^{[3,2,2]} \right)^2 |w_\delta|_{H^3(\Omega)}^2 + \frac{1}{\delta^2} \right) \\ &\lesssim h(\ell)... | ```latex
\begin{aligned} h(\ell)^2 |w_{\ell,\delta}|_{H^2(\Omega)}^2 &\lesssim h(\ell)^2 \left( |w_{\ell,\delta} - w_\delta|_{H^2(\Omega)}^2 + |w_\delta|_{H^2(\Omega)}^2 \right) \\ &\lesssim h(\ell)^2 \left( \left( \tilde \beta_\ell^{[3,2,2]} \right)^2 |w_\delta|_{H^3(\Omega)}^2 + \frac{1}{\delta^2} \right) \\ &\lesssi... | 2507.03521 | v2 | PINN-DG: Residual neural network methods trained with Finite Elements | [
"Georgios Grekas",
"Charalambos G. Makridakis",
"Tristan Pryer"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.03521v2 | [
"greek",
"decoration"
] | 2f61799158625fc068f4d572f47341dc53206a7c053042112a17e97192d698e1 | bb0bdb312ffaaa1487707ee31ab0095e2acfec730117608679e1d06bd1a4a7b5 | 1,135 | 473 | replay | null | null | [] | |
008845d6cc5230fe | T_N = \{ t_n \mid t_n = T (n/N)^r, \; 0\le n \le N\} | ```latex
T_N = \{ t_n \mid t_n = T (n/N)^r, \; 0\le n \le N\}
``` | 2602.08325 | v1 | A numerical study for tempered time-fractional advection-dispersion equation on graded meshes | [
"Liangcai Huang",
"Lin Li",
"Shujuan Lü"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2602.08325v1 | [
"plain"
] | 124e9d209125714920abc3825e8bdb1a35d93caf3f78da260dc110d35ae67c10 | e106b9052ca6ea54f3625f0bd0f9c52f335fe2708bbb380e5a3997e9ac40d79c | 837 | 71 | error | other | null | [
"spacing_only"
] | |
008cb2114eaf1f0a | D_{kl}=\ell'_l(\xi_k), \quad 0\leqslant k,l \leqslant p, | ```latex
D_{kl}=\ell'_l(\xi_k), \quad 0\leqslant k,l \leqslant p,
``` | 2203.11184 | v2 | A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model | [
"Rémi Abgrall",
"Pratik Rai",
"Florent Renac"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2203.11184v2 | [
"prime",
"greek"
] | 3c9e8bb9d255b22633ae2d76992950d1aca104fbb1bb948450f70e67c5779c91 | 68407ea765eef60ece107ab044a5eb193f5d17434d998c4387ba6fcff6c18b9f | 597 | 73 | error | dropped_prime | null | [] | |
009ad747e41db053 | \left\vert a_{n}\left( J_{0},J_{n}\right) \right\vert & \leq\sum _{\substack{J_{1}J_{2},...,J_{n-1}\in\mathcal{G}\\J_{k-1}\neq J_{k}for1\leq k\leq n}}\left\vert \left\langle h_{J_{0};\kappa}^{\eta},h_{J_{1};\kappa }^{\eta}\right\rangle \left\langle h_{J_{1};\kappa}^{\eta},h_{J_{2};\kappa }^{\eta}\right\rangle ...\left\... | ```latex
\left\vert a_{n}\left( J_{0},J_{n}\right) \right\vert & \leq\sum _{\substack{J_{1}J_{2},...,J_{n-1}\in\mathcal{G}\\J_{k-1}\neq J_{k}for1\leq k\leq n}}\left\vert \left\langle h_{J_{0};\kappa}^{\eta},h_{J_{1};\kappa }^{\eta}\right\rangle \left\langle h_{J_{1};\kappa}^{\eta},h_{J_{2};\kappa }^{\eta}\right\rangle ... | 2411.18457 | v8 | A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions | [
"Eric T. Sawyer"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2411.18457v8 | [
"greek",
"decoration",
"i_1"
] | 3daeb3e1e07b7dbf8a62e832b32e66fe5cc95341e677baa692ea907d87395130 | 0361bdfdab8cde674681ced9f7cd08e61cb6ec482c833893e34c6087c48aa706 | 1,627 | 387 | error | symbol_swap | null | [] | |
00ac07181660e411 | A(x) = |\{1\leq q \leq x \mid s_q \neq 0\}| \sim \frac{\alpha x}{\sqrt{\log x}}, | ```latex
A(x) = |\{1\leq q \leq x \mid s_q \neq 0\}| \sim \frac{\alpha x}{\sqrt{\log x}},
``` | 2506.07474 | v1 | Erdős-Kac type theorem for the number of scattering geodesics on modular surface | [
"Sudhir Pujahari",
"Punya Plaban Satpathy"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2506.07474v1 | [
"greek"
] | 17c93a2e3e512eeec9d8469c77d5c56f087566344d5ba02dc03a40ae79304955 | ff5886a5a5baf3e53de6ff592db716cb08e490d95c0662aee7a21b076d6df2e3 | 873 | 123 | replay | null | null | [] | |
00b142e10f4f4e8d | \hat{T}_{X,j,k} \equiv \max\{ -\hat{t}_X(j), \hat{t}_X(k) \} ,\quad \hat{T}_{Y,j,k} \equiv \max\{ \hat{t}_Y(j), -\hat{t}_Y(k) \} , | ```latex
\hat{T}_{X,j,k} \equiv \max\{ -\hat{t}_X(j), \hat{t}_X(k) \} ,\quad \hat{T}_{Y,j,k} \equiv \max\{ \hat{t}_Y(j), -\hat{t}_Y(k) \} ,
``` | 2501.05338 | v1 | Comparing latent inequality with ordinal data | [
"David M. Kaplan",
"Wei Zhao"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2501.05338v1 | [
"decoration"
] | 6fcdae6de67b4cb371c31cac3ac969f38cb0e36d8a47844ef5a5ca1db6351eb2 | b2bc308b764b94c18abfb316a2ed13bdea24771b56ebbc79220301a06dbcbe92 | 1,305 | 82 | replay | null | null | [] | |
00ba0a75ddb17f74 | \begin{array}{lcl} x & = & (i_1,j_1)\otimes (i_2,j_2)\otimes \ldots \otimes (i_p,j_p)\otimes S_B((r,s)) \\ y & = & (k_1,\ell_1)\otimes (k_2,\ell_2)\otimes \ldots \otimes (k_p,\ell_p)\otimes S_B((t,u)) \end{array} | ```latex
\begin{array}{lcl} x & = & (i_1,j_1)\otimes (i_2,j_2)\otimes \ldots \otimes (i_p,j_p)\otimes S_B((r,s)) \\ y & = & (k_1,\ell_1)\otimes (k_2,\ell_2)\otimes \ldots \otimes (k_p,\ell_p)\otimes S_B((t,u)) \end{array}
``` | 2110.06404 | v3 | The Sierpinski Carpet as a Final Coalgebra | [
"Victoria Noquez",
"Lawrence S. Moss"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2110.06404v3 | [
"plain"
] | 807a26705399c94f233d2165b045a64c75ee0934e270fe6a63816fe95eedf1dc | d4d7764b995a93b39fde2a699915858ba7d3e34b2402b960f9928194aa75eb02 | 1,104 | 133 | error | other | null | [] | |
00bae81080ea3a6b | \frac{d}{dt}\int_{\Omega}u|\mathbf{x}|^{2}\,dx = & -2\int_{\Omega}\nabla u\cdot\nabla x\,dx + 2\chi\int_{\Omega}x\cdot(u\chi(x)\nabla(K_{2}\ast u))\,dx \\ = & -2\int_{\partial\Omega}u(x\cdot\nu)\,dx + 4\int_{\Omega}u\,dx + 2\chi\int_{\Omega}x\cdot u\chi(x)\int_{\Omega}\frac{-1}{2\pi}\frac{x-y}{|x-y|^{2}}u\,dy\,dx \\ = ... | ```latex
\frac{d}{dt}\int_{\Omega}u|\mathbf{x}|^{2}\,dx = & -2\int_{\Omega}\nabla u\cdot\nabla x\,dx + 2\chi\int_{\Omega}x\cdot(u\chi(x)\nabla(K_{2}\ast u))\,dx \\ = & -2\int_{\partial\Omega}u(x\cdot\nu)\,dx + 4\int_{\Omega}u\,dx + 2\chi\int_{\Omega}x\cdot u\chi(x)\int_{\Omega}\frac{-1}{2\pi}\frac{x-y}{|x-y|^{2}}u\,dy\... | 2603.08070 | v1 | Chemotaxis with tomography | [
"Valeria Cuentas",
"Elio Espejo"
] | CC0-1.0 | http://creativecommons.org/publicdomain/zero/1.0/ | https://arxiv.org/abs/2603.08070v1 | [
"greek",
"decoration",
"i_1"
] | dda5e8bdfafb59b524397c679accfea65f3f942d46cb9592c9b16e094ea71371 | eede5d10dcfb70a16b2e3518d226078d5ecb29f9052e4e28ccdbbe3a1e247ac6 | 1,837 | 371 | error | symbol_swap | null | [] | |
00bee7e4110111e9 | g_t(\theta) \triangleq \left(r_t + \gamma \langle \phi(s_{t+1}), \theta \rangle - \langle \phi(s_{t}), \theta \rangle\right) \phi(s_t), \forall \theta \in \mathbb{R}^K. | ```latex
g_t(\theta) \triangleq \left(r_t + \gamma \langle \phi(s_{t+1}), \theta \rangle - \langle \phi(s_{t}), \theta \rangle\right) \phi(s_t), \forall \theta \in \mathbb{R}^K.
``` | 2502.04662 | v1 | Adversarially-Robust TD Learning with Markovian Data: Finite-Time Rates and Fundamental Limits | [
"Sreejeet Maity",
"Aritra Mitra"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2502.04662v1 | [
"greek",
"decoration"
] | 708986b936158b671d45f2cb1811642364b159ae2d8efe117e7b09f8c00ec1cd | e363cf7a7673acf3613301e8b758dcd82f2d2a0981faf6cf551185e8d8f619e6 | 1,162 | 76 | replay | null | null | [] | |
00c031edbf330175 | K' = \{ c_{i_1}c_{i_2} \cdots c_{i_m} - \mathcal{N}( c_{i_1}c_{i_2} \cdots c_{i_m}) \,|\, m \le d_0, c_i \in J(\mathfrak{g}) \} | ```latex
K' = \{ c_{i_1}c_{i_2} \cdots c_{i_m} - \mathcal{N}( c_{i_1}c_{i_2} \cdots c_{i_m}) \,|\, m \le d_0, c_i \in J(\mathfrak{g}) \}
``` | 2402.00483 | v4 | Gelfand-Tsetlin modules for Lie algebras of rank $2$ | [
"Milica Anđelić",
"Carlos M. da Fonseca",
"Vyacheslav Futorny",
"Andrew Tsylke"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2402.00483v4 | [
"prime",
"decoration"
] | 1b34eb8f250da42a59d2669ff71c38fcd769f91042b277d1ebf2fd10fdf1f542 | 3eeb5a089de14a5532058d278646114a6fada459b845d174d81cc3fc68d1d73f | 1,219 | 72 | error | symbol_swap | null | [] | |
00ce00fbbc29a6b5 | f(P) = \sum_{i,j,r,s=1}^n a_{ijrs} p_{ij} p_{rs} + \sum_{i,j=1}^n b_{ij} p_{ij} + c. | ```latex
f(P) = \sum_{i,j,r,s=1}^n a_{ijrs} p_{ij} p_{rs} + \sum_{i,j=1}^n b_{ij} p_{ij} + c.
``` | 2406.19377 | v2 | Grassmannian optimization is NP-hard | [
"Zehua Lai",
"Lek-Heng Lim",
"Ke Ye"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2406.19377v2 | [
"plain"
] | c6c79156fa435221d966d5eb8944be16893d28797d606d8985e5a01ae7339e25 | b032ff3104270a65494f02368722975d9b5b67ecf1b078c88cf33a0ddc9d47f9 | 881 | 162 | control | null | 1 | [] | |
00d2941c87ec744c | \mathrm{II}_{\Sigma_T} \geq\frac{7}{8T\max_{\Sigma_T}N}\,h_T>0. | ```latex
\mathrm{II}_{\Sigma_T} \geq\frac{7}{8T\max_{\Sigma_T}N}\,h_T>0.
``` | 2609.10160 | v1 | Integral of Scalar Curvature under Volume Collapse | [
"Guoyi Xu"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2609.10160v1 | [
"greek",
"decoration"
] | 36b427aba23c0ebfafb2315f87915bdbeebbc0be834f8a7cfd899322792abe59 | 96773b3361b94ed3a610799a2e28212d59617b9220fa88b7e080ce35e0fb12ad | 611 | 135 | error | greek_latin | null | [] | |
00d479ccd5908dd5 | \displaystyle H''_{x\mu}(t)\tilde \mu(t)=\sum_{i=1}^{n_c}\nabla_x c_i(t)\tilde\mu_i(t), | ```latex
\displaystyle H''_{x\mu}(t)\tilde \mu(t)=\sum_{i=1}^{n_c}\nabla_x c_i(t)\tilde\mu_i(t),
``` | 2605.06991 | v1 | A Semi-smooth Newton Method for the Constrained Optimal Control of Continuous-Time Linear Systems | [
"Simon J. Jones",
"Dominic Liao-McPherson",
"Marco M. Nicotra"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2605.06991v1 | [
"prime",
"greek",
"decoration"
] | b17c34369c5f847d608514b658064176a454d35de54da0066d2d737bed6b5249 | f8263fb9c1eb4c66d12c54bffaf9c3538cd4a6a0e9fb8244bf1d834cfb20f796 | 651 | 156 | replay | null | null | [] | |
00d53492c9814c21 | z_{i+1} &= b_{i+1} (-1)^{i+2} \langle L w_{i+1}, z_{i+1} \rangle^{-1} w_{i+1} - b_{i+1} (-1)^{i+1} \langle L w_i, z_i \rangle^{-1} w_i \\ &= b_i (-1)^{i-1} \langle L w_{i-1}, z_i \rangle^{-1} w_{i-1} + c_i (-1)^{i+1} \langle L w_i, z_i \rangle^{-1} w_i. | ```latex
z_{i+1} &= b_{i+1} (-1)^{i+2} \langle L w_{i+1}, z_{i+1} \rangle^{-1} w_{i+1} - b_{i+1} (-1)^{i+1} \langle L w_i, z_i \rangle^{-1} w_i \\ &= b_i (-1)^{i-1} \langle L w_{i-1}, z_i \rangle^{-1} w_{i-1} + c_i (-1)^{i+1} \langle L w_i, z_i \rangle^{-1} w_i.
``` | 2412.01475 | v2 | Planar radial mean bodies are convex | [
"J. Haddad"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2412.01475v2 | [
"plain"
] | aa96e56ef3e5944c60f6d5c7cb6dfb2765b94f50d6555a9b58d1651fbcf79dd5 | de34c9d2a117c5456ae3b33951da5eda538ce20d55e185f4b681c0b145ea82ab | 1,390 | 154 | replay | null | null | [] | |
00e202da73666897 | I:=\big[-c_{e}\|u_{0}\|_{H^{4}({\mathbb R}^{d})}-c_{e}, \ c_{e}\|u_{0}\|_{H^{4}({\mathbb R}^{d})}+c_{e}\big], \quad 5\leq d\leq 7 | ```latex
I:=\big[-c_{e}\|u_{0}\|_{H^{4}({\mathbb R}^{d})}-c_{e}, \ c_{e}\|u_{0}\|_{H^{4}({\mathbb R}^{d})}+c_{e}\big], \quad 5\leq d\leq 7
``` | 2603.07804 | v1 | Solvability of a class of integro-differential equations with Laplace and bi-Laplace operators | [
"Vitali Vougalter",
"Vitaly Volpert"
] | CC0-1.0 | http://creativecommons.org/publicdomain/zero/1.0/ | https://arxiv.org/abs/2603.07804v1 | [
"decoration",
"i_1"
] | 0ac0ea2b136e604d60bd175f7f96a49f376df8fd844fde67fafd5433dd88b5b6 | a4bc361b20b6c67eace7a350a77e5b977f873b8e5e5b5eaed1e545ab127acc9c | 1,254 | 81 | error | other | null | [] | |
00e7e91eee4b9c18 | \mathcal{C}_L := C_o \circ \text{bl}_L \circ \text{bl}_{L-1} \cdots \circ \text{bl}_1 \circ \sigma \circ C_i | ```latex
\mathcal{C}_L := C_o \circ \text{bl}_L \circ \text{bl}_{L-1} \cdots \circ \text{bl}_1 \circ \sigma \circ C_i
``` | 2507.03521 | v2 | PINN-DG: Residual neural network methods trained with Finite Elements | [
"Georgios Grekas",
"Charalambos G. Makridakis",
"Tristan Pryer"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.03521v2 | [
"greek",
"decoration"
] | 3b4327b4c3e2b39b4aa83cc1794fb1e9346d48dd924a32e7ba2c2be887cdf038 | e723f43ba4ba57b7b6b92ee878a8f980b05b3037e24cedf2838232fac8505eba | 822 | 65 | error | decoration | null | [] | |
00e7f897f408d2e4 | \hspace{0.1cm} & \frac{\vert \mathcal{S}_0 \vert}{n}\displaystyle\sum_{x^\ell \in \mathcal{D}^{\mathcal{P}}_1} \min(0,\beta^\top x^{\ell}) - \frac{\vert \mathcal{S}_1 \vert}{n}\displaystyle\sum_{x^\ell \in \mathcal{D}^{\mathcal{P}}_0} \min(0,\beta^\top x^{\ell}) \leq c \\ &\frac{\vert \mathcal{S}_0 \vert}{n}\displaysty... | ```latex
\hspace{0.1cm} & \frac{\vert \mathcal{S}_0 \vert}{n}\displaystyle\sum_{x^\ell \in \mathcal{D}^{\mathcal{P}}_1} \min(0,\beta^\top x^{\ell}) - \frac{\vert \mathcal{S}_1 \vert}{n}\displaystyle\sum_{x^\ell \in \mathcal{D}^{\mathcal{P}}_0} \min(0,\beta^\top x^{\ell}) \leq c \\ &\frac{\vert \mathcal{S}_0 \vert}{n}\d... | 2412.01585 | v3 | FairML: A Julia Package for Fair Classification | [
"Jan Pablo Burgard",
"João Vitor Pamplona"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2412.01585v3 | [
"greek",
"decoration"
] | c9b0fce6dda9e2aa6d35532abb4e0146eadcba74e5fedb25aa357c8993dc9b38 | aac9770e2f65800f46ff05de29920dfcf85417ec4451c3298221e6747309adfb | 1,175 | 334 | error | decoration | null | [] | |
00f3f9a92c90ca1b | x_{i+1}^j-x_{i}^j+w_l \leq w_{s}. | ```latex
x_{i+1}^j-x_{i}^j+w_l \leq w_{s}.
``` | 2502.04586 | v1 | Automatic Ply Partitioning for Laminar Composite Process Planning | [
"Eric Garner",
"Amir Mirzendehdel"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2502.04586v1 | [
"plain"
] | 4c0698089f95bda775a18c7c39e047eb34ec0e8319dc1b2e3bd08201a638f3e5 | f64fd4ff93b4a4738b7eeda4f08477b9b30c5726a9e965cfe826bc0b8c42a022 | 450 | 82 | replay | null | null | [] | |
01013f10dcf530fd | N^{\rm wor}_{p,q}(\mathcal{P}_{n})\asymp n^{d(1/p-1/q)_{+}}, | ```latex
N^{\rm wor}_{p,q}(\mathcal{P}_{n})\asymp n^{d(1/p-1/q)_{+}},
``` | 2507.06505 | v1 | Average Nikolskii factors for random diffusion polynomials on closed Riemannian manifolds | [
"Yun Ling",
"Heping Wang"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.06505v1 | [
"decoration"
] | 5e438f66e4673a6aaf2d5cad2c4361766f35a7246ef15c1a36ed5947a0d21f85 | 7569112385414844f13e388f287e5742c78f808265dbb85936b5c8442d848255 | 528 | 85 | replay | null | null | [] | |
010304b196f7ea95 | &(q-1)\sum_{j\in J}\int_{\Omega}\frac{(a(x)+u_{n}^{q})}{(1+u_{n})^{q}}\vert D_{j}u_{n}\vert^{p_{j}}\\&\qquad+\sum_{j\in J}\int_{\Omega}b(x)\frac{u_{n}\vert D_{j}u_{n}\vert^{p_{j}}}{\left(u_{n}+\frac{1}{n}\right)^{\theta+1}}\left[1-(1+u_{n})^{1-q}\right]\\ &\quad=\int_{\Omega} f_{n}\left[1-(1+u_{n})^{1-q}\right]. | ```latex
&(q-1)\sum_{j\in J}\int_{\Omega}\frac{(a(x)+u_{n}^{q})}{(1+u_{n})^{q}}\vert D_{j}u_{n}\vert^{p_{j}}\\&\qquad+\sum_{j\in J}\int_{\Omega}b(x)\frac{u_{n}\vert D_{j}u_{n}\vert^{p_{j}}}{\left(u_{n}+\frac{1}{n}\right)^{\theta+1}}\left[1-(1+u_{n})^{1-q}\right]\\ &\quad=\int_{\Omega} f_{n}\left[1-(1+u_{n})^{1-q}\right... | 2512.08391 | v1 | A Class of Non-linear Anisotropic Elliptic problems with Unbounded Coefficients and Singular Quadratic Lower Order Terms | [
"Fessel Achhoud",
"Hichem Khelifi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2512.08391v1 | [
"greek"
] | 791c70d7c42d1c0909f634fa588cf9fa02801bd1b1cd62fc7892f104865a1fbe | 3eb48f14d1fea9e0d1cf5c6b9b188c079c02b0e4ee35dac2882eb0023644f501 | 1,030 | 448 | error | symbol_swap | null | [] | |
0107bd486644b38f | \frac{(z,q^2/z,q^2;q^2)_\infty}{(z,q/z,q;q)_\infty}=\frac{1}{(zq,q/z,q;q^2)_\infty}~, | ```latex
\frac{(z,q^2/z,q^2;q^2)_\infty}{(z,q/z,q;q)_\infty}=\frac{1}{(zq,q/z,q;q^2)_\infty}~,
``` | 2507.06294 | v1 | Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra | [
"George Andrews",
"Anindya Banerjee",
"Chinmaya Bhargava",
"Ranveer Kumar Singh",
"Runkai Tao"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.06294v1 | [
"plain"
] | 01def2e508985946809396c0d8d91cf0e02cf62cbc05668a88fdd93cc3e4872f | 3689ce8383f84c8643c210597c8b37a3bff79b499dcabd753131a4fc8b8d4eaf | 800 | 142 | error | other | null | [
"spacing_only"
] | |
010a900c95a12bf1 | {\cal H}'=U{\cal H}U^{-1}-i\hbar U\frac{ \partial U^{-1}}{\partial t}. | ```latex
{\cal H}'=U{\cal H}U^{-1}-i\hbar U\frac{ \partial U^{-1}}{\partial t}.
``` | 2408.01770 | v3 | Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian | [
"Alexander J. Silenko"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2408.01770v3 | [
"prime"
] | 2946cf7aa6940e2be58a3c3b7b1492161f1f74f4c5f59f49325d296c138cd3af | 945ba0e147327d2e1a62341e94f188ba43e9b819a9cdd31be1aaad44f3634f40 | 582 | 130 | replay | null | null | [] | |
010ab699e72247a4 | \min_x \quad \frac{1}{2}\| A x - b \|_2^2 + \lambda \| x \|_1, | ```latex
\min_x \quad \frac{1}{2}\| A x - b \|_2^2 + \lambda \| x \|_1,
``` | 2601.07628 | v3 | D-PDLP: Scaling PDLP to Distributed Multi-GPU Systems | [
"Hongpei Li",
"Yicheng Huang",
"Huikang Liu",
"Dongdong Ge",
"Yinyu Ye"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2601.07628v3 | [
"greek"
] | 8ce1b8ec9f2fd01625d71f9f935ea0a8514a80b1700bd7d120f6a2341dd30ee9 | 899e36af382738459c008ff8ff2d9c2c756ef656b2eb6eb97cc46a0ab201f7bd | 603 | 122 | replay | null | null | [] | |
010fce0e44d345f1 | G_{ij}(\mathbf r) = \delta_{ij}\Psi(r) - \partial_i\partial_j\Phi(r) + \varepsilon_{ij}\chi(r), | ```latex
G_{ij}(\mathbf r) = \delta_{ij}\Psi(r) - \partial_i\partial_j\Phi(r) + \varepsilon_{ij}\chi(r),
``` | 2603.07830 | v1 | Force Dipole Interactions in Membranes with Odd Viscosity | [
"Sneha Krishnan",
"Udaya Maurya",
"Rickmoy Samanta"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2603.07830v1 | [
"greek",
"decoration"
] | bae75350c54b298d17464bd0bbaf1a8cb88f7e0ab2fea5a0b3a6dc77d7f0a4f3 | 8405e7daf2ca9df54c8a7101c5c81f49c46c7dd4e8cdd4b7110dae53ab1aba31 | 821 | 73 | replay | null | null | [] | |
011f61b05172874d | s: \mathcal{O}_{\mathbb{P}(\mathcal{K}_d)}(-1) \otimes T_{\mathbb{P}^2} & \to \Omega_{\mathbb{P}^2}(d) \\ \lambda B_\ell \otimes v &\mapsto \lambda B_\ell(v,-) | ```latex
s: \mathcal{O}_{\mathbb{P}(\mathcal{K}_d)}(-1) \otimes T_{\mathbb{P}^2} & \to \Omega_{\mathbb{P}^2}(d) \\ \lambda B_\ell \otimes v &\mapsto \lambda B_\ell(v,-)
``` | 2405.11943 | v2 | Chow ring of the stack of plane nodal curves | [
"Alessio Cela",
"Ajith Urundolil Kumaran",
"Xiaohan Yan"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2405.11943v2 | [
"greek",
"decoration"
] | 4f1a2445cadbc9bb5b6a278a1c2461e58ce53a61fc7f447e1204e78ed1e7ad71 | 59d96fab78452791ccea6b80c89a3a1b5fef8b455a45acfafd77a70975d39e3d | 727 | 144 | control | null | \ell | [] | |
01240109c2aa7aa6 | p_t \le \frac{\mathrm{OPT}_{n,t}}{n\,\Delta_g(\gamma_t-\eta_t;D_t)}\,\delta_t + \frac{L_g\,\eta_t}{\Delta_g(\gamma_t-\eta_t;D_t)}. | ```latex
p_t \le \frac{\mathrm{OPT}_{n,t}}{n\,\Delta_g(\gamma_t-\eta_t;D_t)}\,\delta_t + \frac{L_g\,\eta_t}{\Delta_g(\gamma_t-\eta_t;D_t)}.
``` | 2604.07744 | v1 | The Condition-Number Principle for Prototype Clustering | [
"Romano Li",
"Jianfei Cao"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2604.07744v1 | [
"greek",
"decoration"
] | 4d175a10dbe1995a1774871da43c001f66dde38d72f36f427449a35ca3859743 | 0c5601707c5268eb76a49e93d65ab139f146a694691f6fba51d7e2cd18a7489a | 931 | 139 | error | decoration | null | [] | |
012db42e7f06f127 | x_{k + 1} \coloneqq x_k - \eta_k\nabla f(x_k), \qquad (\eta_k > 0: \text{step size}), | ```latex
x_{k + 1} \coloneqq x_k - \eta_k\nabla f(x_k), \qquad (\eta_k > 0: \text{step size}),
``` | 2602.08618 | v1 | Nesterov's accelerated gradient for unbounded convex functions finds the minimum-norm point in the dual space | [
"Keiya Sakabe"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2602.08618v1 | [
"greek"
] | b9d23bc3efcb77a3147ba75a5c0d4d33ee004e71946b7ba4f2e36530fbc8ecb6 | 84a9dc8f98de1b921c95a76b22a65319045d109f6dd6814ba82ee24b6fca8aa2 | 1,026 | 71 | error | symbol_swap | null | [] | |
0138fb4d9c0647d3 | H_n(S^1 \times B^3) \cong \begin{cases} \mathbb{Z} & n = 0,1 \\ 0 & \text{otherwise }\\ \end{cases} | ```latex
H_n(S^1 \times B^3) \cong \begin{cases} \mathbb{Z} & n = 0,1 \\ 0 & \text{otherwise }\\ \end{cases}
``` | 2306.14442 | v2 | Topology Estimation of Simulated 4D Image Data by Combining Downscaling and Convolutional Neural Networks | [
"Khalil Mathieu Hannouch",
"Stephan Chalup"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2306.14442v2 | [
"decoration"
] | 56ed5971760302633c9122f674053fc19caac7967932e8efa0d7186b3452b18a | bb8c620145f8d02e4130a0ff5954eaf82cc6dcfc69cb09cb90aba079590ec8ef | 681 | 170 | error | other | null | [] | |
01393751494e2fa1 | r^{-d/2-\beta}\cdot (2t_{\max})^2\cdot \bigg(\frac{Z \log(1/r)}{2t_{\max} - 2t_{\min}}\bigg)^2\cdot (r^{-d/2-\beta})^2 \bigg(\frac{Z \log(1/r)}{2t_{\max} - 2t_{\min}}\bigg)^2=o(1). | ```latex
r^{-d/2-\beta}\cdot (2t_{\max})^2\cdot \bigg(\frac{Z \log(1/r)}{2t_{\max} - 2t_{\min}}\bigg)^2\cdot (r^{-d/2-\beta})^2 \bigg(\frac{Z \log(1/r)}{2t_{\max} - 2t_{\min}}\bigg)^2=o(1).
``` | 2512.04191 | v2 | Sharp thresholds, hitting times and the power of choice for random geometric graphs | [
"Dawid Ignasiak",
"Lyuben Lichev"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2512.04191v2 | [
"greek"
] | d96c1c742e9cb458adf1fcf8eaf74c2a0f80060ba6b8373fb0b4ed22aca3f11d | e27c67915767d4055aa5a8fd31e68b10f97589eac97f6984f7b15b1c3a0e4c43 | 1,577 | 149 | error | other | null | [] | |
01485d8faf9a7228 | A(N) = \begin{pmatrix} 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 \\ 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 \\ 1... | ```latex
A(N) = \begin{pmatrix} 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 \\ 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0... | 2507.06927 | v1 | Walk Matrix-Based Upper Bounds on Generalized Cospectral Mates | [
"Muhammad Raza",
"Mudassir Shabbir",
"Waseem Abbas"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.06927v1 | [
"plain"
] | b115754ba2d286fd6ff508b1825f8e27fcc4a19adacf647e8fee439f039b5e5d | 5c390f7f754eda6abd0065b4abd56d453fcb6a551a67112fdd8c1c9d761f2a13 | 829 | 558 | replay | null | null | [] | |
015dbb9bba99b046 | \nabla^2G(\mathbf{x}) = \delta(\mathbf{x}), | ```latex
\nabla^2G(\mathbf{x}) = \delta(\mathbf{x}),
``` | 2512.08555 | v1 | A scalable high-order multigrid-FFT Poisson solver for unbounded domains on adaptive multiresolution grids | [
"Gilles Poncelet",
"Jonathan Lambrechts",
"Thomas Gillis",
"Philippe Chatelain"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2512.08555v1 | [
"greek",
"decoration"
] | 498a1559053e562c1f93b62f0b7e59dac0191e91c7064a8e3318fbebb679e029 | 8380f9dce189fe1ca33a5df5432e808f6ff5b09b5d61d9e0f6cca5f1cfadda12 | 351 | 76 | replay | null | null | [] | |
015e408413410b66 | \begin{aligned} & \min_{\theta \in \mathcal{D}} ~ \mathcal{S}_\mathcal{T}(\theta): l(\theta; u^*_{\theta})=\frac{1}{\mathcal{T}} \sum_{i=1}^\mathcal{T} \Vert \Tilde{u}^p(i) - u^*_{\theta} \Vert_2^2 \\ & ~s.t. ~~ u^*_{\theta} = \arg \min_{u} J(u;\theta). \end{aligned} | ```latex
\begin{aligned} & \min_{\theta \in \mathcal{D}} ~ \mathcal{S}_\mathcal{T}(\theta): l(\theta; u^*_{\theta})=\frac{1}{\mathcal{T}} \sum_{i=1}^\mathcal{T} \Vert \Tilde{u}^p(i) - u^*_{\theta} \Vert_2^2 \\ & ~s.t. ~~ u^*_{\theta} = \arg \min_{u} J(u;\theta). \end{aligned}
``` | 2409.10884 | v2 | 3DIOC: Direct Data-Driven Inverse Optimal Control for LTI Systems | [
"Chendi Qu",
"Jianping He",
"Xiaoming Duan"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2409.10884v2 | [
"greek",
"decoration"
] | f279dc226f5dac0ed8eadb70fdfe3a80c2b35e8355ee51ba3be61e4a2450b807 | 1354a00fba496c4e75ad2ca1fba5fd5cf29e16abccab5aa29cdbc5ba91b66aa0 | 916 | 258 | error | decoration | null | [] | |
015ede55c2b23487 | \frac{\partial}{\partial z}I_{x,\tilde{z}}\simeq\frac{I_{x,\tilde{z}+\Delta} - I_{x,\tilde{z}-\Delta}}{2\Delta}. | ```latex
\frac{\partial}{\partial z}I_{x,\tilde{z}}\simeq\frac{I_{x,\tilde{z}+\Delta} - I_{x,\tilde{z}-\Delta}}{2\Delta}.
``` | 2510.02989 | v3 | Transport of Event Equation: Phase Retrieval from Defocus Events | [
"Kaito Hori",
"Chihiro Tsutake",
"Keita Takahashi",
"Toshiaki Fujii"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.02989v3 | [
"greek",
"decoration",
"i_1"
] | 79a4d90c24b1cd316130c9df81272fccbce636cb98d4ed0e89d38535376addf4 | 7e1db35080bc6b3b777b8bdfa14e112394b4ae2337cb4e55dedc3c2c60627783 | 553 | 125 | replay | null | null | [] | |
0170992b0bff7cb9 | R = w_q \cdot Q_{ortho} + w_b \cdot B_{split} + R_{progress} - P_{penalty} | ```latex
R = w_q \cdot Q_{ortho} + w_b \cdot B_{split} + R_{progress} - P_{penalty}
``` | 2606.10601 | v1 | Dmsh: A Multi-Agent Reinforcement Learning Framework for All-Quad Mesh Generation | [
"Anirudh Kalyan",
"Cosmin Anitescu",
"Xiaoying Zhuang",
"Timon Rabczuk",
"Somdatta Goswami",
"Sundararajan Natarajan"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2606.10601v1 | [
"plain"
] | 334d15097ef6b9654ef9834edc05c5bc974bc35ce5245db02ca19520f70b32f1 | a2feb177303b21577dbe79af545d78b56bd71c3803cfd59acbf19daaddd3e8d6 | 1,036 | 71 | replay | null | null | [] | |
0174ff23d73cd71b | \begin{aligned} \mathcal{I}_{1} &= \int_{\mathbb{R}^{N}}\chi_{R}u\Delta k \, dx + \int_{\mathbb{R}^N}k u \Delta \chi_{R} \, dx + 2\int_{\mathbb{R}^{N}}u \langle \nabla k, \nabla \chi_{R}\rangle \, dx\\ &=:\mathcal{I}'_{1} + \mathcal{I}''_{1} + \mathcal{I}'''_{1}. \end{aligned} | ```latex
\begin{aligned} \mathcal{I}_{1} &= \int_{\mathbb{R}^{N}}\chi_{R}u\Delta k \, dx + \int_{\mathbb{R}^N}k u \Delta \chi_{R} \, dx + 2\int_{\mathbb{R}^{N}}u \langle \nabla k, \nabla \chi_{R}\rangle \, dx\\ &=:\mathcal{I}'_{1} + \mathcal{I}''_{1} + \mathcal{I}'''_{1}. \end{aligned}
``` | 2605.07911 | v1 | Blow-up of solutions to semilinear parabolic equations driven by mixed local-nonlocal operators with large initial data | [
"Stefano Biagi",
"Fabio Punzo",
"Eugenio Vecchi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2605.07911v1 | [
"prime",
"greek",
"decoration",
"i_1"
] | 6a048e9288c4e7f444048ef9c9d1569ff49f5ec967bfd1403e86ef01d41702e6 | 50bf211ccc9e574fde6ba252f7f0244cc1cb938b4d491feb8f69332a020d16de | 1,310 | 204 | replay | null | null | [] | |
017a666dabd7419d | \frac{\mathrm{ord}_x(a_{-u_s})-\mathrm{ord}_x(a_{-m_s})}{u_s-m_s}\geq\frac{\mathrm{ord}_x(a_{-m_s})-\mathrm{ord}_x(a_{-m_{s-1}})}{m_s-m_{s-1}}. | ```latex
\frac{\mathrm{ord}_x(a_{-u_s})-\mathrm{ord}_x(a_{-m_s})}{u_s-m_s}\geq\frac{\mathrm{ord}_x(a_{-m_s})-\mathrm{ord}_x(a_{-m_{s-1}})}{m_s-m_{s-1}}.
``` | 2511.18809 | v2 | Comparison between formal slopes and p-adic slopes | [
"Yezheng Gao"
] | CC0-1.0 | http://creativecommons.org/publicdomain/zero/1.0/ | https://arxiv.org/abs/2511.18809v2 | [
"decoration"
] | 90b391c10e080d30b7c83c34e370e6f5a05a2254684d98b752fefab5a822a46a | 37f54f7441d3a05a5872a723575371fee917574082ab5beb8d1e0ccbaf7b0838 | 1,196 | 135 | replay | null | null | [] | |
018264182c823f0d | K_m(A, r_0) = \text{span} \{v_1, v_2, \dots, v_m\}, | ```latex
K_m(A, r_0) = \text{span} \{v_1, v_2, \dots, v_m\},
``` | 2508.05793 | v1 | On the Choice of Subspace for the Quasi-minimal Residual Method for Linear Inverse Problems | [
"Moshen Hu",
"Lucas Onisk"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2508.05793v1 | [
"plain"
] | df7119e901e6b8d7ed12a6190142f9b933cbfd18e8a7b3756a2e5182e40fa094 | 88194dad9c7d69d57c15472036da481219ec9bc46d5d9ced8bed0abdce106c3d | 729 | 71 | replay | null | null | [] | |
01928a537ea10bd2 | |x(t)| \leq C_T|x(s)| \quad \mbox{ for } \quad e_{\ast}\leq s\leq t. | ```latex
|x(t)| \leq C_T|x(s)| \quad \mbox{ for } \quad e_{\ast}\leq s\leq t.
``` | 2411.05765 | v1 | Uniform $h$-dichotomies: noncritical uniformity and expansivity | [
"Heli Elorreaga",
"Juan Peña",
"Gonzalo Robledo"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2411.05765v1 | [
"plain"
] | c0bff9b2d199c6efa8e07a1e8c766027f9efcfd3f2ed5ac8a3abd2c476ea5448 | d518c0b1b78a7891cc0d09286aa49a5f6726f86e1b38128ba2d5be24334a5d87 | 785 | 71 | error | symbol_swap | null | [] | |
01a9640162102125 | J_{k-1}(y) \ll_{k} y^{k-1} \hspace{10pt} \text{ for } \hspace{10pt} y > 0. | ```latex
J_{k-1}(y) \ll_{k} y^{k-1} \hspace{10pt} \text{ for } \hspace{10pt} y > 0.
``` | 2410.16921 | v2 | Trace formula and functional equation | [
"Chung-Hang Kwan",
"Wing Hong Leung"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2410.16921v2 | [
"plain"
] | 9400cce21ea9b7d05ceedfb29ef240b2039c1b85b874ec1cb9ea30cc46eb8604 | 736dd1731dddcc13b508a9ec18ac12d9ec17d79b117dcfc721b2dcc1fc457f17 | 663 | 76 | error | other | null | [] | |
01ae61a56f71a936 | I,\quad ST^i\,(0\leq i<N),\quad ST^nST^i\,(n\in\mathscr{N},\,0\leq i<N/(N,n^2)). | ```latex
I,\quad ST^i\,(0\leq i<N),\quad ST^nST^i\,(n\in\mathscr{N},\,0\leq i<N/(N,n^2)).
``` | 2506.16823 | v2 | Correspondence among congruence families for generalized Frobenius partitions via modular permutations | [
"Rong Chen",
"Xiao-Jie Zhu"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2506.16823v2 | [
"decoration",
"i_1"
] | f6776c899895a36df56a94ed772077567d2c6d21025b8ada1496b146ef20a1e9 | 86aeff60bcb55791b2b60de55e7a0cb5df012ed5812872b3c7e039c8ddc338e4 | 1,331 | 76 | error | decoration | null | [] | |
01c743ecb6f7844b | \frac{\partial\mathcal{L}}{\partial\nabla_j\varphi^i} = \frac{\partial}{\partial\nabla_j\varphi^i} \left(-\rho_o W(\rho_o,J)\right) = \left(-\rho_o\frac{\partial W}{\partial J}\right) \left(\frac{\partial J}{\partial\nabla_j\varphi^i}\right). | ```latex
\frac{\partial\mathcal{L}}{\partial\nabla_j\varphi^i} = \frac{\partial}{\partial\nabla_j\varphi^i} \left(-\rho_o W(\rho_o,J)\right) = \left(-\rho_o\frac{\partial W}{\partial J}\right) \left(\frac{\partial J}{\partial\nabla_j\varphi^i}\right).
``` | 2512.08841 | v1 | Space-time discretization for barotropic flow stemming from a multisymplectic variational formulation | [
"Mukthesh Mahadev",
"Marc Gerritsma"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2512.08841v1 | [
"greek",
"decoration"
] | a0a3a2de1568495c57830d1c93f46fcf7b0b9982ddaad898926aa7257505e420 | 7c009eac57f6b7038f38e6ef47ff0eedc7d4b5cca30407bc67f0a542e99ae7d4 | 1,244 | 141 | replay | null | null | [] | |
01cc3b7ee7ff3b02 | k_i^{(m)} = k_j^{(m)} \,\,\,\forall m, \,\forall i,j \in C_a. | ```latex
k_i^{(m)} = k_j^{(m)} \,\,\,\forall m, \,\forall i,j \in C_a.
``` | 2510.11207 | v2 | Fibration Symmetries and Cluster Synchronization in Multi-Body Systems | [
"Margherita Bertè",
"Tommaso Gili"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.11207v2 | [
"plain"
] | 86e513e1e459c5087d3c1462192b1f2bd19d8bd7a12b3889c9f88b2e7a373ebe | cc08ba44b5b51775fd15991aa53c2e76173aa122b03ba07b87ee28203e3cc09e | 600 | 90 | error | other | null | [
"spacing_only"
] | |
01ce52364c0fb254 | M^{\lambda} / G^{\lambda,\max} \cong S^{\lambda} , | ```latex
M^{\lambda} / G^{\lambda,\max} \cong S^{\lambda} ,
``` | 2307.00587 | v3 | A new presentation for Specht modules with distinct parts | [
"Tamar Friedmann",
"Phil Hanlon",
"Michelle L. Wachs"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2307.00587v3 | [
"greek"
] | dfb3a13baa7a6255796949ca5bbec294d1e3694a24a9961ca88d5076e55e08ee | 44536b92216027a1732b17c3471b851d6bfe8b0f630bc9a35c0b13eab6f6d221 | 386 | 77 | replay | null | null | [] | |
01d4744d9b416d8b | \min_{x\in \mathbb{R}^{n}}\max_{y\in \mathbb{R}^{m}} f(x,y) , | ```latex
\min_{x\in \mathbb{R}^{n}}\max_{y\in \mathbb{R}^{m}} f(x,y) ,
``` | 2506.07290 | v1 | Stochastic Moving Anchor Algorithms and a Popov's Scheme with Moving Anchor | [
"James Alcala",
"Yat Tin Chow",
"Mahesh Sunkula"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2506.07290v1 | [
"decoration"
] | 59c6bb352601f4a6cf177e277a855c4aa37d420c74178c9d9c51993273ac5335 | 494068e8288b86dc50aa0f90ba14f59048b7011aea51acd33af8a781a04d9bcf | 372 | 96 | replay | null | null | [] | |
01d717a99699d8c5 | \text{error}(i) = \frac{\|\hat{y}_i - y_i\|}{\|y_i\|}. | ```latex
\text{error}(i) = \frac{\|\hat{y}_i - y_i\|}{\|y_i\|}.
``` | 2410.16377 | v2 | A Simple Model of Inference Scaling Laws | [
"Noam Levi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2410.16377v2 | [
"decoration"
] | 90a2e05936cd8745f9341f450eeed81dd1e206abfb61a2c8cbd24507a9d2762f | 7cb8eb4b0c95a094896267b50373c6d7260b80747014e52934361bda34585169 | 449 | 138 | replay | null | null | [] | |
01dacc0ebe1c36c8 | \rho(x)\rho(y)=m(x,y)\rho(x+y), \forall x,y\in G. | ```latex
\rho(x)\rho(y)=m(x,y)\rho(x+y), \forall x,y\in G.
``` | 2509.14676 | v2 | Spectral Barron spaces arising from quantum harmonic analysis | [
"Yaogan Mensah"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2509.14676v2 | [
"greek"
] | 9ef945e54606ce588b6579cef7b6cd3a1ce90345f8997991bbd8f31260122b63 | 4152e9122e4bf1928ce8609a6577c4a32129039172557e5ab47e5cae1fcc76a9 | 830 | 71 | replay | null | null | [] | |
01df9291a81f9863 | (-z)^\alpha \mathbf{F}^I_{-\alpha,\beta,-\mu}(z) &= (-z)^\alpha (1-z)^\frac{-1+\alpha-\beta-\mu}{2}\mathbf{F}^I_{-\alpha,\mu,-\beta}(\frac{z}{z-1}). \\ &=(-z)^\alpha (1-z)^\frac{-1+\alpha-\beta+\mu}{2}\mathbf{F}^I_{-\alpha,-\mu,\beta}(\frac{z}{z-1}) \\ &= (-z)^\alpha (1-z)^{-\beta} \mathbf{F}^I_{-\alpha,-\beta,\mu}(z). | ```latex
(-z)^\alpha \mathbf{F}^I_{-\alpha,\beta,-\mu}(z) &= (-z)^\alpha (1-z)^\frac{-1+\alpha-\beta-\mu}{2}\mathbf{F}^I_{-\alpha,\mu,-\beta}(\frac{z}{z-1}). \\ &=(-z)^\alpha (1-z)^\frac{-1+\alpha-\beta+\mu}{2}\mathbf{F}^I_{-\alpha,-\mu,\beta}(\frac{z}{z-1}) \\ &= (-z)^\alpha (1-z)^{-\beta} \mathbf{F}^I_{-\alpha,-\beta... | 2509.03235 | v2 | Exactly solvable Schrödinger operators related to the hypergeometric equation | [
"Jan Dereziński",
"Pedram Karimi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2509.03235v2 | [
"greek",
"decoration",
"i_1"
] | 9076210bcc7251213969b554916754cb3549e8b825a59aaf74009bc82093d160 | 80540462a436756403144b6b92b9c5a5c7d122558c52b2bd53a4c8e159056494 | 1,247 | 304 | error | other | null | [] | |
01e3ee784025753e | r_2 \geq y_1\sqrt{1+M^2N} \geq \sqrt{\frac{1+M^2N}{1+N}}r_1 | ```latex
r_2 \geq y_1\sqrt{1+M^2N} \geq \sqrt{\frac{1+M^2N}{1+N}}r_1
``` | 2606.11055 | v1 | Exponential mixing and enhanced dissipation on the unit sphere with Rossby-Haurwitz flows | [
"Augusto Del Zotto",
"Marc Nualart"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2606.11055v1 | [
"plain"
] | b63a97bdcdee31a2d25063ad66173b685f332d105edef391c997b950339db328 | f0e09b92fbc6fb02806e0b379848f36a91fa92c302ab8bdfe9123a79fa02565e | 777 | 140 | replay | null | null | [] | |
01ee5a0438383705 | \left\| (1-\Pi_k)(P-z)^{-1}(1-\Pi_k) \right\|_{L^p(M)\to L^{p'}(M)} \lesssim k^{2\sigma(q)+1-m}. | ```latex
\left\| (1-\Pi_k)(P-z)^{-1}(1-\Pi_k) \right\|_{L^p(M)\to L^{p'}(M)} \lesssim k^{2\sigma(q)+1-m}.
``` | 2609.10127 | v1 | Resolvent bounds and eigenvalue estimates of generalized Schrödinger operators with complex potentials on compact manifolds | [
"Eduard Stefanescu"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2609.10127v1 | [
"prime",
"greek"
] | 1bb23c73686eb2650ab7101e7a461e1f20021f9194971654f92d541e2a33d4a6 | 76e38ea584f17ef4471702400f34757a64b89c9108f67a9d454e4cc5671d62ec | 1,195 | 94 | control | null | ' | [] | |
01ee6f92a10fd012 | (\mathbb{C} \varepsilon(u), \varepsilon(v))_{L^2(\Omega)} = \langle f, v\rangle_{V^* \times V} + \langle g, v\rangle_{\widetilde{H}^{-1/2}(\Gamma_{\mathrm{N}}) \times \widetilde{H}^{1/2}(\Gamma_{\mathrm{N}})}. | ```latex
(\mathbb{C} \varepsilon(u), \varepsilon(v))_{L^2(\Omega)} = \langle f, v\rangle_{V^* \times V} + \langle g, v\rangle_{\widetilde{H}^{-1/2}(\Gamma_{\mathrm{N}}) \times \widetilde{H}^{1/2}(\Gamma_{\mathrm{N}})}.
``` | 2404.02768 | v2 | Locking-free hybrid high-order method for linear elasticity | [
"Carsten Carstensen",
"Ngoc Tien Tran"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2404.02768v2 | [
"greek",
"decoration"
] | 30d0aa3b2940939c3807f28aaccbee4e50068fffcc9a1c005c34414c9d6dd8f6 | bd039e0d751094639772347e74d057da40da0c7b35d2c28eac8de509c38b63c5 | 1,208 | 82 | error | decoration | null | [] | |
0201ce8197aded93 | p=\tilde p=(A^*\cdot \tilde u)\tilde{}=u\cdot A =\check A(u)\in L^2(G). | ```latex
p=\tilde p=(A^*\cdot \tilde u)\tilde{}=u\cdot A =\check A(u)\in L^2(G).
``` | 2412.06584 | v1 | On the structure of Spectral Sets | [
"Jean Ludwig",
"Lyudmila Turowska"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2412.06584v1 | [
"decoration"
] | 0f3e5d874a84f0ac4c82c513f283c2ed8539e5a0e43f2c3dd41a6f1af1c9338b | fb9f098450d18d967887af7a2285ad8605e9dddf81953a5e658a15f4ff6b975a | 894 | 77 | error | decoration | null | [] | |
0204150cc9c0d400 | \begin{aligned} 2^{i_0-1}\leq\sqrt{1+\frac{P_x}{d(\bm{X})}}\leq2^{i_0}. \end{aligned} | ```latex
\begin{aligned} 2^{i_0-1}\leq\sqrt{1+\frac{P_x}{d(\bm{X})}}\leq2^{i_0}. \end{aligned}
``` | 2407.21698 | v1 | Long-Term Energy Management for Microgrid with Hybrid Hydrogen-Battery Energy Storage: A Prediction-Free Coordinated Optimization Framework | [
"Ning Qi",
"Kaidi Huang",
"Zhiyuan Fan",
"Bolun Xu"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2407.21698v1 | [
"decoration"
] | ba38cef856828bc2e7857d38a9e8d2d5dc794273492f39c8f479787dc01f30a0 | 7e8f8ef71dca2d18cf549974f4e711add1f159bc52094d98f7b81c3eb9a8af03 | 576 | 170 | error | decoration | null | [] | |
020af512540a50ba | (m-1)(\beta'\cdot (-K_S)-2) \le g. | ```latex
(m-1)(\beta'\cdot (-K_S)-2) \le g.
``` | 2503.18905 | v2 | A Brill-Noether Theorem for (toric) surfaces | [
"Alessio Cela",
"Carl Lian"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2503.18905v2 | [
"prime",
"greek"
] | 258c0874df3db7afa0a0b0179fb704944c9814c80a97cc8ed62aadaf06f3cb95 | f9fa632d91fc6ed6e036c1df5b65734d5b5ea2e714637452d8b4159ccbd152f7 | 628 | 72 | control | null | ' | [] | |
020bfe4981200072 | R(T)= \tilde{O}\big( K^{\frac{1}{2}} T^{ \frac{1}{2} + \frac{3c(1-b)}{2}} \big). | ```latex
R(T)= \tilde{O}\big( K^{\frac{1}{2}} T^{ \frac{1}{2} + \frac{3c(1-b)}{2}} \big).
``` | 2510.08435 | v1 | Navigating Sparsities in High-Dimensional Linear Contextual Bandits | [
"Rui Zhao",
"Zihan Chen",
"Zemin Zheng"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.08435v1 | [
"decoration"
] | da6d848bead8741b7698c4a8ca8e411247cda7e72bbd4045cc7cc262424fa630 | 7286b706c411dc6e07748402ce3ac0c84ec876e5c9d4870377f31ed426281497 | 567 | 94 | error | other | null | [] | |
020c52acd5810b2b | \mathsf{A}_1^{(0)} = \left( \mathsf{M}^{(0)}_{1,\eta} \right)^{\eta_1} \cdots \left( \mathsf{M}^{(0)}_{5,\eta} \right)^{\eta_5} | ```latex
\mathsf{A}_1^{(0)} = \left( \mathsf{M}^{(0)}_{1,\eta} \right)^{\eta_1} \cdots \left( \mathsf{M}^{(0)}_{5,\eta} \right)^{\eta_5}
``` | 2604.07444 | v1 | Resurgence of high-energy string amplitudes | [
"Xavier Kervyn",
"Stephan Stieberger"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2604.07444v1 | [
"greek",
"decoration"
] | b54549e440b8a21a8f5cdb06f38e1f7ce5059f62e2bb48dc50927896eee58a8a | 337731d5768222c8a6096f0f647963536f87d506816153207e3ef1bd2f68fd64 | 608 | 112 | error | decoration | null | [] | |
020eb2a88760ce30 | R_A^{\star}=2R_B^{\mathrm{full}}-R_B^{\dagger}, | ```latex
R_A^{\star}=2R_B^{\mathrm{full}}-R_B^{\dagger},
``` | 2603.04199 | v2 | Bayesian Adversarial Privacy | [
"Cameron Bell",
"Timothy Johnston",
"Antoine Luciano",
"Christian P Robert"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2603.04199v2 | [
"decoration"
] | 2dc4de924d0ed086e9ce0a54dd2ece4084f70ddb66ca8a16c5a3001e1117f4f3 | b4ce2428651572b1a26daf028e81f17c2bdbbade60298eb6298831b0d137aaea | 402 | 81 | replay | null | null | [] | |
0211a14ad5a58c11 | &|\Delta(\alpha,\beta,M,N,Q,a)|\\ &\ll ||\alpha||\left(MQ^{-1}\mathcal E^*(\beta,N,Q)+(\log X)^\kappa N^2Q+(\log X)^\kappa N^2D^{-\frac 12}M+D^CX^\epsilon\left(Q^{\frac{15}{8}}N^{\frac{11}{4}}+M^\frac{3}{20}Q^{\frac{33}{20}}N^{\frac{51}{20}}\right) \right)^\frac 12. | ```latex
&|\Delta(\alpha,\beta,M,N,Q,a)|\\ &\ll ||\alpha||\left(MQ^{-1}\mathcal E^*(\beta,N,Q)+(\log X)^\kappa N^2Q+(\log X)^\kappa N^2D^{-\frac 12}M+D^CX^\epsilon\left(Q^{\frac{15}{8}}N^{\frac{11}{4}}+M^\frac{3}{20}Q^{\frac{33}{20}}N^{\frac{51}{20}}\right) \right)^\frac 12.
``` | 2604.25177 | v2 | Trilinear Kloosterman fractions I: partially fixed moduli and unbalanced convolutions | [
"Thomas Wright"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2604.25177v2 | [
"greek",
"decoration"
] | 76779874a153ad4792edd68b620492c69c754d4e789584fcea2fb4930ef7399c | 39c46b221f1d9e0b6f24e4e6920b22133f3b406af1d213f220dedd8874f43111 | 2,212 | 199 | error | symbol_swap | null | [] | |
021879dd18985b6c | f_m(t) := \begin{cases} \frac{1}{m-1} t^m & m \neq 1 \\ t \log t & m = 1 \end{cases} | ```latex
f_m(t) := \begin{cases} \frac{1}{m-1} t^m & m \neq 1 \\ t \log t & m = 1 \end{cases}
``` | 2604.04169 | v2 | An Aronson-Bénilan / Li-Yau estimate in the JKO scheme in small dimension | [
"Fanch Coudreuse"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2604.04169v2 | [
"plain"
] | c81572c4a4e2501e437f830ff7417eb4e98e931eb9bf0e35af878e6a37e3a9c5 | ab3a0ea517a5b3c5e22a98c77c10b6abf41526afee0b2c8f785d4f5451de88e6 | 565 | 170 | replay | null | null | [] | |
022560b784886d1f | \begin{array}{rcl} c(t)&=&A(t)b\\ C(t)&=& \dot A(t)A(t)^{-1}+A(t)BA(t)^{-1}\\ q_j(t,x)&=& A(t)f_j(A(t)^{-1}x) \end{array} | ```latex
\begin{array}{rcl} c(t)&=&A(t)b\\ C(t)&=& \dot A(t)A(t)^{-1}+A(t)BA(t)^{-1}\\ q_j(t,x)&=& A(t)f_j(A(t)^{-1}x) \end{array}
``` | 2506.07189 | v2 | On gauge transforms of autonomous ordinary differential equations | [
"Giuseppe Gaeta",
"Sebastian Walcher"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2506.07189v2 | [
"decoration"
] | ffac2547a712b0ad3d6e58b894d25c6b719f123b5cc54bafb6c5f7f25fed52e9 | 427887e8b9d7bef64a7fb38d0faa382cdd9c2395aeea1261548191446fb80700 | 842 | 197 | error | other | null | [] | |
02269693040e28f4 | \frac{d\sigma_{zy}^{res}(\eta)}{d\eta}=\frac{d\sigma_{zy}^{0}(\eta)}{d\eta}+ k \int_{0}^{1} \sigma_{zy}^{res}(t) \left( -\frac{2\eta}{\gamma_1 \pi^{2} (t^{2} - \eta^{2})} \sqrt{\frac{t^{2} - 1}{\eta^{2} - 1}}\right) dt, | ```latex
\frac{d\sigma_{zy}^{res}(\eta)}{d\eta}=\frac{d\sigma_{zy}^{0}(\eta)}{d\eta}+ k \int_{0}^{1} \sigma_{zy}^{res}(t) \left( -\frac{2\eta}{\gamma_1 \pi^{2} (t^{2} - \eta^{2})} \sqrt{\frac{t^{2} - 1}{\eta^{2} - 1}}\right) dt,
``` | 2606.12007 | v1 | Residual stress gradient in a thin film within the dislocation pile-up theory | [
"A. V. Druzhinin",
"C. Cancellieri"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2606.12007v1 | [
"greek"
] | 7c20b7f6db0ce24a99a59345108462ba694f5567a7a43ee45badc7b336ef2eb2 | f12f40465521cdc99ad1a4e1ecfedc54c0a1f602d9b2d71a4605c7e94aeb1962 | 1,400 | 175 | replay | null | null | [] | |
022c432730896314 | a^{A_{l-1}}_{1,r}(k) = \#\left\{ s\in\{0,1,\dots,k\} \mid k-2s\equiv r\pmod l \right\}. | ```latex
a^{A_{l-1}}_{1,r}(k) = \#\left\{ s\in\{0,1,\dots,k\} \mid k-2s\equiv r\pmod l \right\}.
``` | 2608.06451 | v1 | New symplectic singularities from $SU(2)$ gauge theories | [
"Amihay Hanany",
"Guhesh Kumaran",
"Deshuo Liu",
"Travis Schedler"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2608.06451v1 | [
"plain"
] | 61f50c919b4534c4ca8175001680b93667c06f320449a80b137f394c16cf40c1 | 0b0caeccd03c067bf412fb5ae57a754dfd29d286a6313e54abfa96c3b5050001 | 1,191 | 89 | replay | null | null | [] | |
022e221c432fde23 | |u|^{(\alpha,\frac{\alpha}{2})}_{\Omega_{T}}=|u|^{(0)}_{\Omega_{T}}+ \max_{(\boldsymbol{x},t)\in\Omega_{T},\,|h|<\infty} \frac{|u(\boldsymbol{x}+h,t+\frac{h}{2})-u(\boldsymbol{x},t)|}{|h|^{\alpha}}<\infty. | ```latex
|u|^{(\alpha,\frac{\alpha}{2})}_{\Omega_{T}}=|u|^{(0)}_{\Omega_{T}}+ \max_{(\boldsymbol{x},t)\in\Omega_{T},\,|h|<\infty} \frac{|u(\boldsymbol{x}+h,t+\frac{h}{2})-u(\boldsymbol{x},t)|}{|h|^{\alpha}}<\infty.
``` | 2510.19502 | v6 | Correct mathematical models of joint filtration of two immiscible viscous liquids | [
"Anvarbek Meirmanov",
"Akbota Senkebayeva"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2510.19502v6 | [
"greek",
"decoration"
] | 81564465204d7060a9cc8f24336609306804cb757e9e6e6f99a6594a71667af0 | 003e443f3ef06c20aa2c43e90e0c27a13f1ab94350f1f0e1fdca5929af8d7f55 | 1,347 | 147 | error | decoration | null | [] | |
022ecc48e75d9ab8 | U = Q_k \cdot O_l \cdot Q_{k-1} \cdot O_{l-1} \cdot \ldots \cdot Q_1 \cdot O_1. | ```latex
U = Q_k \cdot O_l \cdot Q_{k-1} \cdot O_{l-1} \cdot \ldots \cdot Q_1 \cdot O_1.
``` | 2412.06145 | v1 | Optimizing Qubit Mapping with Quasi-Orthogonal Space-Time Block Codes and Quaternion Orthogonal Designs | [
"Valentine Nyirahafashimana",
"Nurisya Mohd Shah",
"Umair Abdul Halim",
"Mohamed Othman",
"Sharifah Kartini Said Husain"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2412.06145v1 | [
"plain"
] | 7ad5bfa769445c9bb40fcd6b349596c246ebc7e26d82a2ddc2e7df0203801714 | d58650c32abc776f8b9d16ddf4a1e9897ba26b794fa040f3e03cdfc5d58026b1 | 830 | 66 | replay | null | null | [] | |
02341a06e3617aed | f\circ\Gamma_{H_{1}}=\Gamma_{B_{1}}\circ(f\otimes f) | ```latex
f\circ\Gamma_{H_{1}}=\Gamma_{B_{1}}\circ(f\otimes f)
``` | 2605.07497 | v1 | Opposite brace triples, Hopf braces and matched pairs of Hopf algebras | [
"Ramón González Rodríguez",
"Brais Ramos Pérez"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2605.07497v1 | [
"greek"
] | b58a320edad0eb0a2fd5037dbf9075efc9457e1520cc0d726ccf8c455ccdf93e | 54ba1771f7b4d4d79c0b0660d936a00d63975eec6447e15383d1e55a19eb1d7b | 515 | 71 | replay | null | null | [] | |
0234a2b46161686d | M^* = \sum_{j\in \mathcal J^*} M_j^*. | ```latex
M^* = \sum_{j\in \mathcal J^*} M_j^*.
``` | 2606.10916 | v1 | Range Penalization: Theoretical Insights with Applications in Federated Learning | [
"Yiyuan She",
"Zhaojun Hu",
"Yifan Sun"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2606.10916v1 | [
"decoration"
] | bcf0feee652c6f4f895138d4e617c214bc9d8764bedd413f2d6730b137be8c7d | a3cf00024083f486edc7f7657b980ad5221eae2400a720288ba0aae7da9be05a | 334 | 133 | replay | null | null | [] | |
024513a39c2e8e62 | \begin{aligned} \sum_{u\in T}d_{G-S}(u)\leq kt-ks-2+q. \end{aligned} | ```latex
\begin{aligned} \sum_{u\in T}d_{G-S}(u)\leq kt-ks-2+q. \end{aligned}
``` | 2508.05678 | v1 | Spectral conditions for graphs to contain $k$-factors | [
"Xinying Tang",
"Wenqian Zhang"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2508.05678v1 | [
"plain"
] | f5a39ecc0b4489d0ea3b8143dae1c5f804d6812411ae5cb5510215d72b3f6edc | d530faf35a18f5bc4d2076337b2525ad129290dc558ea0beb5259a2e12e6a408 | 670 | 129 | control | null | l | [] | |
024a2a9fcd2828fa | \lim\limits_{t\rightarrow\infty}\mathcal{L}^{(0)}_{*}\ge\frac{1}{2}\frac{\min_{k\in[n]}\|x_k\|_2^2}{\max_{k\in[n]}\|x_k\|_2^2}\sigma^2\frac{1+\mu^2}{2} | ```latex
\lim\limits_{t\rightarrow\infty}\mathcal{L}^{(0)}_{*}\ge\frac{1}{2}\frac{\min_{k\in[n]}\|x_k\|_2^2}{\max_{k\in[n]}\|x_k\|_2^2}\sigma^2\frac{1+\mu^2}{2}
``` | 2402.18905 | v2 | Characterizing the Training Dynamics of Private Fine-tuning with Langevin diffusion | [
"Shuqi Ke",
"Charlie Hou",
"Sewoong Oh",
"Giulia Fanti"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2402.18905v2 | [
"greek",
"decoration"
] | b524145eaca5645aa7493f21d739cb2a34a9132d5bd5487e4a3c24d8ae77db6d | 192371f9d3cb1b231591b944c8c3488d0ca787c68c7f22ae7738951ada39c8ff | 796 | 147 | replay | null | null | [] | |
024f49bb362c0487 | \left\vert \left\langle \mathsf{M}_{u}^{s}\bigtriangleup_{I}^{\varphi }f,h_{J;\kappa}^{\eta}\right\rangle \right\vert \leq2^{D-\kappa \operatorname*{dtree}\left( J,\mathcal{G}_{2s}\left[ I\right] \right) },\ \ \ \ \ \text{for }I,J\in\mathcal{G}, | ```latex
\left\vert \left\langle \mathsf{M}_{u}^{s}\bigtriangleup_{I}^{\varphi }f,h_{J;\kappa}^{\eta}\right\rangle \right\vert \leq2^{D-\kappa \operatorname*{dtree}\left( J,\mathcal{G}_{2s}\left[ I\right] \right) },\ \ \ \ \ \text{for }I,J\in\mathcal{G},
``` | 2411.18457 | v8 | A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions | [
"Eric T. Sawyer"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2411.18457v8 | [
"greek",
"decoration",
"i_1"
] | 3f1ca9518552cd30cc3c00acbd838edc2a48682301d3230af48d8c7a5fd92c48 | ec2769e65ad2bfaed2c20f6403715e5147a1c81c84549520581c5ccc9fac8a1b | 1,142 | 86 | error | decoration | null | [] | |
025900011683e36f | U_0^{(1)}(\mathfrak{g}) \subset U_0^{(2)}(\mathfrak{g}) \subset \cdots \subset U_0^{(i)}(\mathfrak{g}) \subset \cdots, | ```latex
U_0^{(1)}(\mathfrak{g}) \subset U_0^{(2)}(\mathfrak{g}) \subset \cdots \subset U_0^{(i)}(\mathfrak{g}) \subset \cdots,
``` | 2402.00483 | v4 | Gelfand-Tsetlin modules for Lie algebras of rank $2$ | [
"Milica Anđelić",
"Carlos M. da Fonseca",
"Vyacheslav Futorny",
"Andrew Tsylke"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2402.00483v4 | [
"decoration"
] | 2f0d59f2a1572be85229efb8d8839d1ff0d569d92ca6a16fcd471cc7bda78ba5 | b86ece31b17a0aed3800d7c1890cdbce827a1a8290f86b32ddf082ec9baaf31d | 866 | 83 | error | other | null | [] | |
025c8a01eab53113 | |11\rangle = \binom{0}{1} \otimes \binom{0}{1} = \begin{pmatrix} 0 \\ 0 \\ 0 \\ 1 \end{pmatrix}. | ```latex
|11\rangle = \binom{0}{1} \otimes \binom{0}{1} = \begin{pmatrix} 0 \\ 0 \\ 0 \\ 1 \end{pmatrix}.
``` | 2412.05595 | v1 | Quantum Annealing and Tensor Networks: a Powerful Combination to Solve Optimization Problems | [
"Miquel Albertí Binimelis"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2412.05595v1 | [
"i_1"
] | 63c9cd82a686b69be90eb7f9b862e710ee0e73a797b5434ab52b816b66dc1cf4 | 39cfcacedd374dfcce26d30abc2686b96d688700f9c659ea0e8549acb243d9e3 | 614 | 259 | error | other | null | [] | |
025d7aface508037 | h_{\alpha,\theta; \alpha}(t \vert z , 1-\theta,\gamma) &= \frac{1}{\pi t}\, {\rm Im} \sum_{k=0}^\infty \frac{\Gamma(\gamma+\theta/\alpha+k)}{k! \, \Gamma(\gamma+\theta/\alpha)} (-z e^{-i\pi\alpha} t^{-\alpha})^k \\ &= \frac{1}{\pi t}\, {\rm Im} \, \frac{1}{(1+z e^{-i\pi\alpha}t^{-\alpha})^{\gamma+\theta/\alpha}} \\ &= ... | ```latex
h_{\alpha,\theta; \alpha}(t \vert z , 1-\theta,\gamma) &= \frac{1}{\pi t}\, {\rm Im} \sum_{k=0}^\infty \frac{\Gamma(\gamma+\theta/\alpha+k)}{k! \, \Gamma(\gamma+\theta/\alpha)} (-z e^{-i\pi\alpha} t^{-\alpha})^k \\ &= \frac{1}{\pi t}\, {\rm Im} \, \frac{1}{(1+z e^{-i\pi\alpha}t^{-\alpha})^{\gamma+\theta/\alpha... | 2507.06665 | v1 | Distributions based on Stable Mixtures and Gamma-Stable Convolutions | [
"Nomvelo Karabo Sibisi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2507.06665v1 | [
"greek",
"i_1"
] | 3468248380d8a5f6d2ab974dbcd752d14c55f7470125090a4cd089aef2b29985 | f5711400afe410e90d69ca10ab6a65da808c9a8e5ef5eec83f0067734dd7d612 | 1,315 | 429 | replay | null | null | [] | |
026b3366e7d655aa | d(d^2-1) a^3 - 3(d+2)(d^2-1)a^2 + 3(d^2-4)(d-1)a - (d-2)^2(d+1)= 0. | ```latex
d(d^2-1) a^3 - 3(d+2)(d^2-1)a^2 + 3(d^2-4)(d-1)a - (d-2)^2(d+1)= 0.
``` | 2505.05894 | v1 | Comment and correction for "On Explicit Construction of Simplex $t$-designs" by M. S. Baladram | [
"Jakub Czartowski"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2505.05894v1 | [
"plain"
] | 5e259358b80d31008fd27ca3a14547f46f0683a38be7ba9a4452ac6ca3feee82 | ee68c0f9150e4e0f24e62c5dc22e8ba50f9dfcf887041bdedd8f415d13391700 | 1,607 | 76 | replay | null | null | [] | |
027f5fc5fa18b0a0 | A_t(z) = \left(\frac{z_1+ t}{1+ tz_1}, \sqrt{1-t^2} \frac{z'}{1 + tz_1}\right), | ```latex
A_t(z) = \left(\frac{z_1+ t}{1+ tz_1}, \sqrt{1-t^2} \frac{z'}{1 + tz_1}\right),
``` | 2311.10705 | v2 | Holomorphic maps acting as Kobayashi isometries on a family of geodesics | [
"Filippo Bracci",
"Łukasz Kosiński",
"Włodzimierz Zwonek"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2311.10705v2 | [
"prime"
] | 0a958bce56100446fe291e63954753cf581b248e0086957f9fa86fd5a0e89ce6 | 581718cb2fbce2c857d64c08b9330683079f49683e2360391425d27908c8e816 | 785 | 140 | control | null | ' | [] | |
028ddb8f1a635e5c | \forall j\in \mathbb{N}_M,\;\displaystyle{\frac{LA}{M}}\leq \displaystyle{\sum_{l\in \mathbb{N}_L}\vert z_Mg_l(j,.)\vert^2}\leq \displaystyle{\frac{LB}{M}}\; \; \text{ a.e. on }[0,1[. | ```latex
\forall j\in \mathbb{N}_M,\;\displaystyle{\frac{LA}{M}}\leq \displaystyle{\sum_{l\in \mathbb{N}_L}\vert z_Mg_l(j,.)\vert^2}\leq \displaystyle{\frac{LB}{M}}\; \; \text{ a.e. on }[0,1[.
``` | 2407.05495 | v3 | Multi-window Gabor systems on discrete periodic sets | [
"Najib Khachiaa"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2407.05495v3 | [
"decoration"
] | dc251d4e24774764921583181a9cf90f1b8d2b6786efe8a20f32db7dbf2b77ab | 577e4b8ff94f05880bf8dec8e51ab33612f88620bf462670f05ae6cc9a7507ee | 1,181 | 154 | error | symbol_swap | null | [] | |
029637574ab803e2 | \mathcal{L}_\varepsilon := \left\{ \pmb{\sigma} \in \mathcal{Q}_N \ | \ U_p(\pmb{\sigma}) < - \varepsilon N \right\} , | ```latex
\mathcal{L}_\varepsilon := \left\{ \pmb{\sigma} \in \mathcal{Q}_N \ | \ U_p(\pmb{\sigma}) < - \varepsilon N \right\} ,
``` | 2505.02458 | v2 | The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses | [
"Anouar Kouraich",
"Chokri Manai",
"Simone Warzel"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2505.02458v2 | [
"greek",
"decoration"
] | 94e7deae5bbabeb95986d0e9c88fbde6047b2fccab084b2974ca527c1f911f9e | 8396b2c3e7bb3dd48b14fe563f9a856ee5b364d022d2934898fd8447ca151eff | 722 | 73 | error | symbol_swap | null | [] | |
0298d3a5da98fcba | \int E_x\,\lambda_M(dx)=I_{\mathcal K_n} | ```latex
\int E_x\,\lambda_M(dx)=I_{\mathcal K_n}
``` | 2609.10072 | v1 | Haar-Bayesian Pure-State Prediction under Relative-Entropy Loss: Arbitrary-Effect Reduction and Global Optimality | [
"Masahito Hayashi",
"Ayanava Dasgupta",
"Naqueeb Ahmad Warsi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2609.10072v1 | [
"greek",
"decoration",
"i_1"
] | f739c51df2ea1d5d6d46ad9b098bac21404be35efb877d05887210c26f945b40 | 354536900d17ecc3d8f32f66b80149c97f076323f4f9751b42913e8b5c221af0 | 434 | 131 | replay | null | null | [] | |
02a7e83a69e99229 | V_a := \ker\left(L - \Lambda_a\right)\neq\{0\}. | ```latex
V_a := \ker\left(L - \Lambda_a\right)\neq\{0\}.
``` | 2601.05422 | v1 | Variations on two Cabrelli's works | [
"Elona Agora",
"Jorge Antezana",
"Diana Carbajal"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2601.05422v1 | [
"greek"
] | 261f6c0974dea269a5aa0fd2515c19fd874c1e98e2172bf3d1e706ca0a6ef018 | 37f855277b0c9c1a9eb10907882d722dfb579fd94d9051eed21019c81e56721c | 556 | 71 | error | other | null | [] | |
02ac8b044a8d351e | \phi = \begin{pmatrix} 1 & 0 & 0 \\ -\alpha _{2} & 1 & 0 \\ \alpha _{1} & 0 & 1 \end{pmatrix} . | ```latex
\phi = \begin{pmatrix} 1 & 0 & 0 \\ -\alpha _{2} & 1 & 0 \\ \alpha _{1} & 0 & 1 \end{pmatrix} .
``` | 2407.05429 | v2 | The algebraic and geometric classification of noncommutative Jordan algebras | [
"Hani Abdelwahab",
"Kobiljon Abdurasulov",
"Ivan Kaygorodov"
] | CC0-1.0 | http://creativecommons.org/publicdomain/zero/1.0/ | https://arxiv.org/abs/2407.05429v2 | [
"greek"
] | 5dff1d8719bccfc1c45ef06e346ff8aa4cf0c79859a14f11c0d3d4dae1d562da | badcb35344b1dad3175bb2bb148fa58bb7dd733fbe59fd840ed7c3bcb1e75134 | 439 | 199 | control | null | 1 | [] | |
02ad39cbeb201750 | \mathcal{L}_{\rm{exp}}(\theta):=\mathbb{E}_{\mathbf y\sim\mu(\mathbb{B}(\mathbb{R}^n))}(\Vert P_n(\mathcal{N}_\theta(\mathbf y)-\mathbf x)\Vert^2_2). | ```latex
\mathcal{L}_{\rm{exp}}(\theta):=\mathbb{E}_{\mathbf y\sim\mu(\mathbb{B}(\mathbb{R}^n))}(\Vert P_n(\mathcal{N}_\theta(\mathbf y)-\mathbf x)\Vert^2_2).
``` | 2605.07365 | v1 | Solving Convolution-type Integral Equations using Preconditioned Neural Operators | [
"Raymond Chan",
"Lingfeng Li"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2605.07365v1 | [
"greek",
"decoration"
] | 34b498df623c172c400bfc0ee4eb74016470e5c4447a4f77de1bdde60dff9631 | f3eac9bc192ff59393b8e7ba132fabe1c3ec5573d29b29869589418d3aa7087d | 908 | 80 | error | other | null | [] | |
02b62eca871a8dab | (\mathcal{H}_{k}F)(a) \ll_{k} a^{\frac{k-1}{2}}, | ```latex
(\mathcal{H}_{k}F)(a) \ll_{k} a^{\frac{k-1}{2}},
``` | 2410.16921 | v2 | Trace formula and functional equation | [
"Chung-Hang Kwan",
"Wing Hong Leung"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2410.16921v2 | [
"decoration"
] | 41d7a545f12932bbe4eb8ab8fef678fcdfba7a75771c70a3c182983ac5121657 | 2fb9a913089ef27034906728bd6b4739b9e1eea632e7cc9565ccba33666b663f | 422 | 85 | error | other | null | [] | |
02b8e40e66dffa3b | \mathfrak{D}^{p}_{\varepsilon}(P\|Q) \coloneqq \inf_{R\in\mathcal{P}(X)} \left\{W_p^p(P,R) + \varepsilon \mathfrak{D}(R\|Q) \right\}. | ```latex
\mathfrak{D}^{p}_{\varepsilon}(P\|Q) \coloneqq \inf_{R\in\mathcal{P}(X)} \left\{W_p^p(P,R) + \varepsilon \mathfrak{D}(R\|Q) \right\}.
``` | 2505.12097 | v2 | Proximal optimal transport divergences | [
"Ricardo Baptista",
"Panagiota Birmpa",
"Markos A. Katsoulakis",
"Luc Rey-Bellet",
"Benjamin J. Zhang"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2505.12097v2 | [
"greek",
"decoration"
] | 33df32e1ed7ce7b9ac029f7ddb069f9f24a6aed5d0e7badd476224c8d27aa568 | 782808d1a05c4f3d6713b3f4aebbfee7eee64c80eeb337ecffc3c2cf1f14093a | 984 | 104 | error | symbol_swap | null | [] | |
02bd60b78de003d8 | k_t = k_0\mathcal{E}(\beta_1W_{1,t})=\frac{c_t}{B}>0,\quad t\ge 0. | ```latex
k_t = k_0\mathcal{E}(\beta_1W_{1,t})=\frac{c_t}{B}>0,\quad t\ge 0.
``` | 2502.05081 | v1 | Stochastic internal habit formation and optimality | [
"Michele Aleandri",
"Alessandro Bondi",
"Fausto Gozzi"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2502.05081v1 | [
"greek",
"decoration"
] | d58e61ae53810a97cd4d1bfa7cb852c347be1bc30e34001e212544d8510fc98d | f4cdf1e63b883cffdcdfdf612c71a2f13bc0b7f7c50c0ebbf857d94cb3d98d25 | 767 | 110 | replay | null | null | [] | |
02d0f99dcddfb9c1 | q\left(\frac{3\ell(n-a)}{3n}, \frac{\ell(4n-a)}{4n}\right) = \left(\frac{-1}{\ell} \right) q \left(\frac{a\ell}{4n}, \frac{3a\ell}{3n} \right) = \left(\frac{-1}{\ell} \right) q \left(\frac{a\ell}{4n}, \frac{4a\ell}{4n} \right) | ```latex
q\left(\frac{3\ell(n-a)}{3n}, \frac{\ell(4n-a)}{4n}\right) = \left(\frac{-1}{\ell} \right) q \left(\frac{a\ell}{4n}, \frac{3a\ell}{3n} \right) = \left(\frac{-1}{\ell} \right) q \left(\frac{a\ell}{4n}, \frac{4a\ell}{4n} \right)
``` | 2602.07693 | v1 | Ekedahl-Oort Types and Newton Polygons of Abelian Covers of $\mathbf{P}^1$ Branched at Three Points | [
"Darren Schmidt"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2602.07693v1 | [
"plain"
] | a78f1d93aeda4edb99d2e023bceddc461d2d142bec90e2ab14604c9d06e15bf7 | 7d7f3f6a631008e784bcab9ef719c861cf4b1751b5bc38b1d0f64623b607d3c3 | 1,535 | 140 | control | null | \ell | [] | |
02d6f0cd4a2b372d | N_{i,p}(u) = \frac{u-u_i}{u_{i+p}-u_i}\,N_{i,p-1}(u) + \frac{u_{i+p+1}-u}{u_{i+p+1}-u_{i+1}}\,N_{i+1,p-1}(u), | ```latex
N_{i,p}(u) = \frac{u-u_i}{u_{i+p}-u_i}\,N_{i,p-1}(u) + \frac{u_{i+p+1}-u}{u_{i+p+1}-u_{i+1}}\,N_{i+1,p-1}(u),
``` | 2606.10335 | v1 | A Physics-Informed B-Spline Framework for Continuous Approximation of Flow Data | [
"Junoh Jung",
"David Lenz",
"Emil Constantinescu",
"Tom Peterka"
] | CC-BY-4.0 | http://creativecommons.org/licenses/by/4.0/ | https://arxiv.org/abs/2606.10335v1 | [
"plain"
] | 91e5aad16e84f8dcf1ceaf9ab4b921efafad863f22cad1dea4917460707d0f8a | 61790ee0045c611f3fb435424991181594c66507d243f64721e63a10f2df95da | 1,235 | 125 | error | other | null | [
"spacing_only"
] |
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