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Bernoulli property of subadditive equilibrium states

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arxiv 2109.10721 v2 pith:3I4M7PTR submitted 2021-09-22 math.DS

Bernoulli property of subadditive equilibrium states

classification math.DS
keywords equilibriumstatesbernoullipropertysubadditiveabsolutelyachieveassumptions
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Under mild assumptions, we show that the unique subadditive equilibrium states for fiber-bunched cocycles are Bernoulli. We achieve this by showing these equilibrium states are absolutely continuous with respect to a product measure, and then using the Kolmogorov property of these measures.

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