Hamza Ounesli

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

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2026

Exponential mixing via invariant foliations and relatively Anosov homeomorphisms

Hamza Ounesli

We prove that every closed manifold of dimension $n \geq 4$ which admits a singular $2$ -foliation (a foliation by closed surfaces whose quotient is a punctured $(n - 2)$ -torus) support…

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 $C^{1}$ 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 $C^{1}$ as an optimal modulus of c…

Exponential mixing via invariant foliations and relatively Anosov homeomorphisms

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

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

On the existence of invariant absolutely continuous probability measures for C1 expanding maps of the circle

On the existence of invariant absolutely continuous probability measures for $C^{1}$ expanding maps of the circle