Patterson-Sullivan measures for relatively Anosov groups

Fuente: arXiv
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Autores principales: Canary, Richard, Zimmer, Andrew, Zhang, Tengren
Formato: Preprint
Publicado: 2023
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author Canary, Richard
Zimmer, Andrew
Zhang, Tengren
author_facet Canary, Richard
Zimmer, Andrew
Zhang, Tengren
contents We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a strict concavity result for entropies associated to linear functionals.
format Preprint
id arxiv_https___arxiv_org_abs_2308_04023
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Patterson-Sullivan measures for relatively Anosov groups
Canary, Richard
Zimmer, Andrew
Zhang, Tengren
Dynamical Systems
Group Theory
37A17, 22F10, 22E40, 53C30
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a strict concavity result for entropies associated to linear functionals.
title Patterson-Sullivan measures for relatively Anosov groups
topic Dynamical Systems
Group Theory
37A17, 22F10, 22E40, 53C30
url https://arxiv.org/abs/2308.04023