most citedAn interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions

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math.DS2008★ 2 cited

An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions

Sebastien Gouezel

We construct a uniformly expanding map of the interval, preserving Lebesgue measure, such that the corresponding transfer operator admits a spectral gap on the space of Lipschitz f…

math.DS2007★ 1 cited

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…

math.DS2007

Local limit theorem for nonuniformly partially hyperbolic skew-products, and Farey sequences

Sebastien Gouezel

We study skew-products of the form (x,ω)\mapsto (Tx, ω+ϕ(x)) where T is a nonuniformly expanding map on a space X, preserving a (possibly singular) probability measure \tildeμ, and…