Observable Lyapunov Quotients

We construct the maximal observable quotient of a finite-dimensional random linear cocycle by removing all directions invisible to future outputs. The resulting observation-dependent Lyapunov spectrum satisfies exact laws for channel processing, finite-window detection, probe selection, algebraic rank walls, and Gaussian initial-state identifiability.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-25
DOI
https://doi.org/10.5281/zenodo.20837599
Primary Topic
Wireless Communication Security Techniques
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Observable Lyapunov Quotients

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Wireless Communication Security Techniques
preprint

Observable Lyapunov Quotients

Hiroyuki Shioiri
preprint en

Abstract

We construct the maximal observable quotient of a finite-dimensional random linear cocycle by removing all directions invisible to future outputs. The resulting observation-dependent Lyapunov spectrum satisfies exact laws for channel processing, finite-window detection, probe selection, algebraic rank walls, and Gaussian initial-state identifiability.

Zenodo (CERN European Organization for Nuclear Research)
Wireless Communication Security Techniques
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Observable Lyapunov Quotients — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS