33 citations · 41 across the 6 of their papers we have counts for
6 papers
Anisotropic Holder and Sobolev spaces for hyperbolic diffeomorphisms
Viviane Baladi, Masato Tsujii
(Revised version, January 2006. S. Gouezel pointed out that, when 1<r<2, the proof in the previous version was incomplete. In fixing this gap, we simplified the argument in Section…
Anisotropic Sobolev spaces and dynamical transfer operators: C^infty foliations
Viviane Baladi
We consider a smooth Anosov diffeomorphism with a smooth dynamical foliation. We show upper bounds on the essential spectral radius of its transfer operator acting on anisotropic S…
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…
Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
Viviane Baladi, Enrique R. Pujals, Martin Sambarino
We study the Ruelle dynamical determinant of a real analytic diffeomorphism on a compact surface, assuming that the tangent space over the nonwandering set admits a dominated split…
Euclidean algorithms are Gaussian
Viviane Baladi, Brigitte Vallee
This study provides new results about the probabilistic behaviour of a class of Euclidean algorithms: the asymptotic distribution of a whole class of cost-parameters associated to…
Kneading determinants and spectra of transfer operators in higher dimensions, the isotropic case
M. Baillif, V. Baladi
Transfer operators M_k acting on k-forms in R^n are associated to smooth transversal local diffeomorphisms and compactly supported weight functions. A formal trace is defined by su…