94 citations · 263 across the 32 of their papers we have counts for
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math.DS2011★ 12 cited
Statistical Properties and Decay of Correlations for Interval Maps with Critical Points and Singularities
Stefano Luzzatto, Ian Melbourne
We consider a class of piecewise smooth one-dimensional maps with critical points and singularities (possibly with infinite derivative). Under mild summability conditions on the gr…
math.DS2011
Uniform hyperbolic approximations of measures with non zero Lyapunov exponents
Stefano Luzzatto, Fernando J Sánchez-Salas
We show that for any C^1+alpha diffeomorphism of a compact Riemannian manifold, every non-atomic, ergodic, invariant probability measure with non-zero Lyapunov exponents is approxi…