Lyapunov Information Dimensions

We develop Lyapunov-weighted information dimensions for anisotropic Gaussian observation channels. The theory connects information dimension with polymatroid obstructions, exact matroid formulas for affine priors and mixtures, and minor-contact laws for moving observation flags.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20941023
Primary Topic
Statistical Mechanics and Entropy
Type
preprint
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preprint

Lyapunov Information Dimensions

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

Lyapunov Information Dimensions

Hiroyuki Shioiri
preprint en

Abstract

We develop Lyapunov-weighted information dimensions for anisotropic Gaussian observation channels. The theory connects information dimension with polymatroid obstructions, exact matroid formulas for affine priors and mixtures, and minor-contact laws for moving observation flags.

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