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20032005
most citedA probabilistic approach to the geometry of the \ell_p^n-ball

181 citations

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math.DS2005

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…

math.DS2004

Decay of correlations for Henon maps

Tien-Cuong Dinh

We show, for a class of automorphisms of C^k, that their equilibrium measures are exponentially mixing. In particular, this holds for (generalized) Henon maps.

math.DS2004

Laminar currents and birational dynamics

Romain Dujardin

We study the dynamics of a bimeromorphic selfmap of a compact complex Kähler surface . Under a natural geometric hypothesis, we construct an invariant probability measure, which…

math.DS2004★ 33 cited

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…

math.DS2004

Theoreme d'equidistribution de Brolin en dynamique p-adique

Charles Favre, Juan Rivera-Letelier

We prove an analog of the famous equidistribution theorem of Brolin for rational mappings in one variable defined over the p-adic field C_p. We construct a mixing invariant probabi…

math.DS2003

Exponential decay of correlations for surface semi-flows without finite Markov partitions

V. Baladi, B. Vallee

We extend Dolgopyat's bounds on iterated transfer operators to suspensions of interval maps with infinitely many intervals of monotonicity.