Lyapunov maximizing measures for balanced pairs of matrices

Fuente: arXiv
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Autor principal: Gao, Rui
Formato: Preprint
Publicado: 2025
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author Gao, Rui
author_facet Gao, Rui
contents We show that every balanced pair (see Definition 1.1) of real $2\times 2$ matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07340
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lyapunov maximizing measures for balanced pairs of matrices
Gao, Rui
Dynamical Systems
We show that every balanced pair (see Definition 1.1) of real $2\times 2$ matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian.
title Lyapunov maximizing measures for balanced pairs of matrices
topic Dynamical Systems
url https://arxiv.org/abs/2512.07340