most citedTopology of the space of measure-preserving transformations of the circle

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.DS2023

Mixing speed and stability of SRB measures through optimal transportation

Houssam Boukhecham, Benoît Kloeckner

It is well-known that the SRB measure of a Anosov diffeomorphism has exponential decay of correlations with respect to H{ö}lder-continuous observables. We propose a new a…

math.DS2023★ 1 cited

Topology of the space of measure-preserving transformations of the circle

Houssam Boukhecham, Hamza Ounesli

This paper is dedicated to prove that the space of circle expanding maps of degree 2 preserving Lebesgue measure is an arc-connected space homeomorphic to an infinite-dimensional L…

math.DS2022

Existence of SRB measures for hyperbolic maps with weak regularity

Houssam Boukhecham

We prove that a hyperbolic map whose differential is regular enough has an SRB measure. The precise regularity condition is weaker than H{ö}lder and was mentionned by various…