One-Sided Oseledets Obstructions

We analyze one-sided recovery of invariant Lyapunov graphs through stationary Gaussian observations. The obstruction is reduced to a spectral prediction problem, yielding exact Toeplitz formulas, Szegő-type residual floors, and complete recovery for purely singular spectra.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-25
DOI
https://doi.org/10.5281/zenodo.20837730
Primary Topic
Spectral Theory in Mathematical Physics
Type
preprint
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preprint

One-Sided Oseledets Obstructions

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Spectral Theory in Mathematical Physics
preprint

One-Sided Oseledets Obstructions

Hiroyuki Shioiri
preprint en

Abstract

We analyze one-sided recovery of invariant Lyapunov graphs through stationary Gaussian observations. The obstruction is reduced to a spectral prediction problem, yielding exact Toeplitz formulas, Szegő-type residual floors, and complete recovery for purely singular spectra.

Zenodo (CERN European Organization for Nuclear Research)
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Spectral Theory in Mathematical Physics
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One-Sided Oseledets Obstructions — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS