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20032005
most citedCentral limit theorems for sequences of multiple stochastic integrals

461 citations

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3 papers · 2 filters

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★ 1 cited

Hausdorff dimension and conformal measures of Feigenbaum Julia sets

Artur Avila, Mikhail Lyubich

We show that contrary to anticipation suggested by the dictionary between rational maps and Kleinian groups and by the ``hairiness phenomenon'', there exist many Feigenbaum Julia s…

math.DS2004★ 3 cited

Weak mixing for interval exchange transformations and translation flows

Artur Avila, Giovanni Forni

We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of ge…