4 citations · 10 across the 8 of their papers we have counts for
9 papers · 1 filter
Smoothness of solenoidal attractors
Artur Avila, Sebastien Gouezel, Masato Tsujii
We consider dynamical systems generated by skew products of affine contractions on the real line over angle-multiplying maps on the circle : $ T:S^{1}\times \R\to S^1\times \R…
Regularity of coboundaries for non uniformly expanding Markov maps
Sebastien Gouezel
We prove that solutions of the equation are automatically Holder continuous when is Holder continuous, and is non uniformly expanding and Markov. This re…
Banach spaces adapted to Anosov systems
Sebastien Gouezel, Carlangelo Liverani
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov map on classes of functions with high smoothness. To this end we construct anisotro…
Decay of correlations for nonuniformly expanding systems
Sebastien Gouezel
We estimate the speed of decay of correlations for general nonuniformly expanding dynamical systems, using estimates on the time the system takes to become really expanding. Our me…
Statistical properties of a skew product with a curve of neutral points
Sebastien Gouezel
We study a skew product with a curve of neutral points. We show that there exists a unique absolutely continuous invariant probability measure, and that the Birkhoff averages of a…
A note on stretched exponential decay of correlations for the Viana-Alves map
V. Baladi, S. Gouezel
In this brief note, we prove stretched exponential upper bounds for the correlation functions of the absolutely continuous invariant measure of the skew product studied by Viana an…