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SRB MEASURES FOR ANOSOV ACTIONS

Abstract : Given a general Anosov R κ action on a closed manifold, we study properties of certain invariant measures that have recently been introduced in [GBGHW20] using the theory of Ruelle-Taylor resonances. We show that these measures share many properties of Sinai-Ruelle-Bowen measures for general Anosov flows such as smooth desintegrations along the unstable foliation, positive Lebesgue measure basins of attraction and a Bowen formula in terms of periodic orbits.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03325073
Contributor : Colin Guillarmou Connect in order to contact the contributor
Submitted on : Monday, November 22, 2021 - 9:34:04 PM
Last modification on : Tuesday, January 4, 2022 - 6:45:25 AM

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SRB_Measures.pdf
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  • HAL Id : hal-03325073, version 2

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Yannick Bonthonneau, Colin Guillarmou, Tobias Weich. SRB MEASURES FOR ANOSOV ACTIONS. 2021. ⟨hal-03325073v2⟩

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