Dirac physical measures for generic diffeomorphisms

Abstract : We prove that, for a $C^1$ generic diffeomorphism, the only Dirac physical measures with dense statistical basin are those supported on sinks.
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https://hal.archives-ouvertes.fr/hal-01701037
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Submitted on : Monday, February 5, 2018 - 3:20:13 PM
Last modification on : Saturday, October 20, 2018 - 9:12:45 PM

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Bruno Santiago. Dirac physical measures for generic diffeomorphisms. Dynamical Systems, Taylor & Francis, 2018, 33 (2), pp.185-194. ⟨10.1080/14689367.2017.1327031⟩. ⟨hal-01701037⟩

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