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Exponentially mixing SRB measures are Bernoulli

Year: 2025
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W4416125236
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