94 citations · 263 across the 32 of their papers we have counts for
Showing 2004 · math.DSShow all
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math.DS2004
Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps
Henk Bruin, Stefano Luzzatto
We explore some properties of Lyapunov exponents of measures preserved by smooth maps of the interval, and study the behaviour of the Lyapunov exponents under topological conjugacy…
math.DS2004★ 94 cited
The Lorenz attractor is mixing
Stefano Luzzatto, Ian Melbourne, Frederic Paccaut
We 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…
math.DS2004★ 18 cited
Stochastic-like behaviour in nonuniformly expanding maps
Stefano Luzzatto
This is a significantly expanded version of the survey paper "Mixing and decay of correlations in non-uniformly expanding maps: a survey of recent results" math/0301319. We discuss…