S
Stefano Luzzatto
Researcher at International Centre for Theoretical Physics
Publications - 75
Citations - 1247
Stefano Luzzatto is an academic researcher from International Centre for Theoretical Physics. The author has contributed to research in topics: Lyapunov exponent & Invariant (mathematics). The author has an hindex of 17, co-authored 72 publications receiving 1155 citations. Previous affiliations of Stefano Luzzatto include Imperial College London.
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The Lorenz Attractor is Mixing
TL;DR: In this article, the authors study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows to be mixing.
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Decay of correlations in one-dimensional dynamics
TL;DR: In this article, the authors consider multimodal C3 interval maps f satisfying a summability condition on the derivatives Dn along the critical orbits which implies the existence of an absolutely continuous f-invariant probability measure mu.
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Markov structures and decay of correlations for non-uniformly expanding dynamical systems☆
TL;DR: In this article, the authors consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure.
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Markov structures and decay of correlations for non-uniformly expanding dynamical systems
TL;DR: In this paper, the authors consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure for which the decay of the return time function can be controlled in terms of the time generic points need to achieve some uniform expanding behavior.
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From rates of mixing to recurrence times via large deviations
TL;DR: In this paper, it was shown that in many cases stochastic-like behaviour itself implies that the system has certain non-trivial geometric properties, which are therefore necessary as well as sufficient conditions for the occurrence of the statistical properties under consideration.