5 citations · 10 across the 3 of their papers we have counts for
4 papers
Mixing rates for symplectic almost Anosov maps
Peyman Eslami, Carlangelo Liverani
We establish sharp bounds on the mixing rates of a class of two dimensional non-uniformly hyperbolic symplectic maps. This provides a primer on how to investigate such questions in…
Inducing schemes for multi-dimensional piecewise expanding maps
Peyman Eslami
We construct inducing schemes for general multi-dimensional piecewise expanding maps where the base transformation is Gibbs-Markov and the return times have exponential tails. Such…
Sharp Statistical Properties for a Family of Multidimensional NonMarkovian Nonconformal Intermittent Maps
Peyman Eslami, Ian Melbourne, Sandro Vaienti
Intermittent maps of Pomeau-Manneville type are well-studied in one-dimension, and also in higher dimensions if the map happens to be Markov. In general, the nonconformality of mul…
On piecewise expanding maps
Peyman Eslami
We study the statistical properties of piecewise expanding maps in the general setting of metric measure spaces. We provide sufficient conditions for exponential mixing of such sys…