Binary Worst-Case Theorem for Jensen-Shannon Chain-Rule Ratio

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Alex B. Shvets
DOI: 10.5281/zenodo.18292418
Cited by: 0

Abstract

A complete analytic proof that the Jensen–Shannon chain-rule ratio is maximized, in the limit,by binary distributions. The reduction yields a pure-logarithm profile and the sharp constantC* ≈ 1.49026.

Fields of Study & Subjects

Probability and Statistical Research Statistical Mechanics and Entropy Mathematical Inequalities and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
18 January 2026
Language
EN
Document type
Preprint