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Main Author: Maldonado, Amadeus
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.04044
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author Maldonado, Amadeus
author_facet Maldonado, Amadeus
contents We prove two results for $C^{1+α}$ diffeomorphisms of a compact manifold preserving an SRB measure $μ$. First, if $μ$ is exponentially mixing, then it is Bernoulli. Second, if $μ$ is obtained as an exponential volume limit, then it is also Bernoulli.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04044
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exponentially mixing SRB measures are Bernoulli
Maldonado, Amadeus
Dynamical Systems
We prove two results for $C^{1+α}$ diffeomorphisms of a compact manifold preserving an SRB measure $μ$. First, if $μ$ is exponentially mixing, then it is Bernoulli. Second, if $μ$ is obtained as an exponential volume limit, then it is also Bernoulli.
title Exponentially mixing SRB measures are Bernoulli
topic Dynamical Systems
url https://arxiv.org/abs/2504.04044