Lyapunov Information Shapes

We characterize Lyapunov information shapes as support functions of entropy base polytopes and determine their closed realizability range for stationary scalar digit sources. We also derive conditional-face, wall-response, and observation-bottleneck formulas.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20954363
Primary Topic
Statistical Mechanics and Entropy
Type
preprint
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preprint

Lyapunov Information Shapes

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
preprint

Lyapunov Information Shapes

Hiroyuki Shioiri
preprint en

Abstract

We characterize Lyapunov information shapes as support functions of entropy base polytopes and determine their closed realizability range for stationary scalar digit sources. We also derive conditional-face, wall-response, and observation-bottleneck formulas.

Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
DOIOpen Access PDFOpenAlex
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Lyapunov Information Shapes — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS