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

C1-genericity of unbounded distortion for ergodic conservative expanding circle maps

Hamza Ounesli

We prove that within the space of ergodic Lebesgue-preserving C1 expanding maps of the circle, unbounded distortion is C1-generic.

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.DS2023

On the existence of invariant absolutely continuous probability measures for expanding maps of the circle

Hamza Ounesli

We prove that for any given modulus of continuity ω there exist (uncountably many) C1 uniformly expanding maps of the circle whose derivatives have as an optimal modulus of c…