S. Crovisier

activity

20032025

most citedThe

C^{1 + α}

hypothesis in Pesin theory revisited

18 citations · 142 across the 46 of their papers we have counts for

collaborators

Showing 2022 · math.DSShow all

3 papers · 2 filters

math.DS2022

Invariance principle and non-compact center foliations

Sylvain Crovisier, Mauricio Poletti

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…

math.DS2022★ 1 cited

Uniqueness of $u$ -Gibbs measures for hyperbolic skew products on $T^{4}$

Sylvain Crovisier, Davi Obata, Mauricio Poletti

We study the $u$ -Gibbs measures of a certain class of uniformly hyperbolic skew products on $T^{4}$ . These systems have a strong unstable and a weak unstable directions. We…

math.DS2022★ 1 cited

Another proof of Burguet's existence theorem for SRB measures of $C^{\infty}$ surface diffeomorphisms

Jérôme Buzzi, Sylvain Crovisier, Omri Sarig

Recently, Burguet proved a strong form of Viana's conjecture on physical measures, in the special case of $C^{\infty}$ surface diffeomorphisms. We give another proof, based on our an…

Invariance principle and non-compact center foliations

Uniqueness of u-Gibbs measures for hyperbolic skew products on T4

Another proof of Burguet's existence theorem for SRB measures of C∞ surface diffeomorphisms

Uniqueness of $u$ -Gibbs measures for hyperbolic skew products on $T^{4}$

Another proof of Burguet's existence theorem for SRB measures of $C^{\infty}$ surface diffeomorphisms