Datasets:
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Tags:
mathematics
information-theory
renyi-entropy
shannon-entropy
hidden-markov-models
bernoulli-convolutions
| { | |
| "source": "manuscript/VELORYN_Manuscript.tex", | |
| "sections": [ | |
| { | |
| "section_number_in_source": null, | |
| "title": "Abstract", | |
| "label": null, | |
| "source_line": 77 | |
| }, | |
| { | |
| "section_number_in_source": null, | |
| "title": "What this release changes", | |
| "label": null, | |
| "source_line": 110 | |
| }, | |
| { | |
| "section_number_in_source": 1, | |
| "title": "Objects, clocks and the precise hypotheses", | |
| "label": "sec:model", | |
| "source_line": 135 | |
| }, | |
| { | |
| "section_number_in_source": 2, | |
| "title": "The boundary-kernel theorem", | |
| "label": "sec:kernel", | |
| "source_line": 204 | |
| }, | |
| { | |
| "section_number_in_source": 3, | |
| "title": "Existence of the complete entropy spectrum", | |
| "label": "sec:spectrum", | |
| "source_line": 284 | |
| }, | |
| { | |
| "section_number_in_source": 4, | |
| "title": "Shannon order and the exact mixture transition", | |
| "label": "sec:shannon", | |
| "source_line": 408 | |
| }, | |
| { | |
| "section_number_in_source": 5, | |
| "title": "Arithmetic geometry: why the factor loss is polynomial", | |
| "label": "sec:geometry", | |
| "source_line": 541 | |
| }, | |
| { | |
| "section_number_in_source": 6, | |
| "title": "Exact replica computation without endpoint enumeration", | |
| "label": "sec:algorithm", | |
| "source_line": 697 | |
| }, | |
| { | |
| "section_number_in_source": 7, | |
| "title": "Certified spectral and Shannon intervals", | |
| "label": "sec:numerical", | |
| "source_line": 847 | |
| }, | |
| { | |
| "section_number_in_source": 8, | |
| "title": "Geometric meaning, with the dimension claim kept precise", | |
| "label": "sec:dimension", | |
| "source_line": 938 | |
| }, | |
| { | |
| "section_number_in_source": 9, | |
| "title": "Reproducible finite evidence", | |
| "label": "sec:evidence", | |
| "source_line": 1011 | |
| }, | |
| { | |
| "section_number_in_source": 10, | |
| "title": "Novelty boundaries and the unresolved target", | |
| "label": "sec:scope", | |
| "source_line": 1065 | |
| }, | |
| { | |
| "section_number_in_source": 11, | |
| "title": "Standalone use and release record", | |
| "label": "sec:release", | |
| "source_line": 1144 | |
| }, | |
| { | |
| "section_number_in_source": 12, | |
| "title": "Elementary concentration and support-growth details", | |
| "label": null, | |
| "source_line": 1176 | |
| }, | |
| { | |
| "section_number_in_source": 13, | |
| "title": "Notation index", | |
| "label": null, | |
| "source_line": 1224 | |
| } | |
| ], | |
| "note": "Appendix numbering in the rendered PDF may differ from this sequential source index." | |
| } | |