Open Research Index

Rényi and Tsallis entropy monotonicity for Bernoulli sums

JD Jones

Palomar Registrypalomar/PALOMAR-2026-10-17-000010Oct 17, 2026math.PRscore 0

Lean formalization of coordinatewise Rényi and Tsallis entropy monotonicity for finite independent Bernoulli sums on the closed half cube, for every real order in [0,2], as stated in Hillion-Johnson Conjecture 4.4. The complete core proves both entropy comparisons and the finite inverse-score association inequality. Concrete coefficient-law and entropy definitions are checked separately. VERIFICATION.md defines exact-source Linux acceptance and distinguishes historical association-only checkpoints.

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-10-17-000010
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-17-000010/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-17-000010/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'