83 citations
- École Normale Supérieure - PSLFR20 papers
- Université Paris Sciences et LettresFR8 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR5 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Laboratoire de Mathématiques d'OrsayFR3 papers
- Sorbonne UniversitéFR3 papers
- KU LeuvenBE2 papers
- Berkeley CollegeUS1 paper
- East Carolina UniversityUS1 paper
- Henri Poincaré Institute1 paper
- Institut Henri PoincaréFR1 paper
- Providence CollegeUS1 paper
5 papers · 1 filter
Alternative proofs of linear response for piecewise expanding unimodal maps
Viviane Baladi, Daniel Smania
We give two new proofs that the SRB measure of a C^2 path f_t of unimodal piecewise expanding C^3 maps is differentiable at 0 if f_t is tangent to the topological class of f_0. The…
Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps
Viviane Baladi, Daniel Smania
We show that if f_t is a holomorphic family of quadratic-like maps with all periodic orbits repelling so that for each real t the map f_t is a real Collet-Eckmann S-unimodal map th…
Good Banach spaces for piecewise hyperbolic maps via interpolation
Viviane Baladi, Sebastien Gouezel
We introduce a weak transversality condition for piecewise C^{1+α} and piecewise hyperbolic maps which admit a C^{1+α} stable distribution. We show good bounds on the essential spe…
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…
Berry-Esseen theorem and local limit theorem for non uniformly expanding maps
Sebastien Gouezel
We prove that, in Young towers with sufficiently small tails, the speed in the central limit theorem is O(1/\sqrt{n}), and the local limit theorem holds. This implies the same resu…