Interface Lyapunov Quotients

We construct relative observable quotients for upper-triangular random linear cocycles, separating interface zero dynamics from transmitted Lyapunov directions. The theory includes exact quotient sequences, output-history realizations, cancellation classes, finite-window ranks, and Gaussian information formulas.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-25
DOI
https://doi.org/10.5281/zenodo.20837760
Primary Topic
Quantum chaos and dynamical systems
Type
preprint
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preprint

Interface Lyapunov Quotients

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
preprint

Interface Lyapunov Quotients

Hiroyuki Shioiri
preprint en

Abstract

We construct relative observable quotients for upper-triangular random linear cocycles, separating interface zero dynamics from transmitted Lyapunov directions. The theory includes exact quotient sequences, output-history realizations, cancellation classes, finite-window ranks, and Gaussian information formulas.

Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
DOIOpen Access PDFOpenAlex
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Interface Lyapunov Quotients — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS