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Pré-Publication, Document De Travail Année : 2022

Invariance principle and non-compact center foliations

Sylvain Crovisier
  • Fonction : Auteur
  • PersonId : 995905
Mauricio Poletti
  • Fonction : Auteur

Résumé

We prove a generalization of a so called ``invariance principle" for partially hyperbolic diffeomorphisms: if an invariant probability measure has all its center Lyapunov exponents equal to zero then the measure admits a center disintegration that is invariant by stable and unstable holonomies. This was known for systems admitting a foliation by compact center leaves, and we extend it to a larger class which contains discretized Anosov flows. We use our result to classify measures of maximal entropy and study physical measures for perturbations of the time-one map of Anosov flows.

Dates et versions

hal-03850072 , version 1 (12-11-2022)

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Sylvain Crovisier, Mauricio Poletti. Invariance principle and non-compact center foliations. 2022. ⟨hal-03850072⟩
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