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Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. Carlangelo Liverani. Follow Author Claim Author Page. Publications Citations 2, Highly Influential Citations Publications Influence.
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We prove stability of the isolated eigenvalues of transfer operators satisfying a Lasota-Yorke type inequality under a broad class of random and nonrandom perturbations including Ulam-type … Continue Reading. We present an original approach which allows to investigate the statistical properties of a non-uniform hyperbolic map of the interval. Based on a stochastic approximation of the deterministic map, … Continue Reading.
Boyland, L. Chierchia, V. Donnay, G. De Martino, C. Gole, J. Lebowitz, M. Lyubich, M. Rychlik, I. Schwarz, S. Vaienti and especially G. We extend a number of results from one-dimensional dynamics based on spectral properties of the Ruelle—Perron—Frobenius transfer operator to Anosov diffeomorphisms on compact manifolds.
This allows … Continue Reading. We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov map on classes of functions with high smoothness. To this end we construct anisotropic Banach spaces … Continue Reading. A unified approach to obtaining the central limit theorem for hyperbolic dynamical systems is presented. It builds on previous results for one dimensional maps but it applies to the multidimensional … Continue Reading.
This paper investigates the decay of correlations in a large class of non-Markov one-dimensional expanding maps. The method employed is a special version of a general approach recently proposed by … Continue Reading. We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with nonuniform hyperbolic behavior. This implies, in particular, exponential decay of correlations for all smooth geodesic flows in strictly … Continue Reading.
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