Hélène Eynard-Bontemps

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20232026

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math.DS2026

How (not) to prove (un)distortion for diffeomorphisms of one-manifolds

Hélène Eynard-Bontemps, Andrés Navas

This article addresses the following general question: Given a one-dimensional manifold $M$ and $1 \leq r < s \leq \infty$ , does there exist a $C^{s}$ orientation preserving compactly…

math.DS2024

All, most, some? On diffeomorphisms of the interval that are distorted and/or conjugate to powers of themselves

Hélène Eynard-Bontemps, Andrés Navas

We study the problem of conjugating a diffeomorphism of the interval to (positive) powers of itself. Although this is always possible for homeomorphisms, the smooth setting is rath…

math.DS2023

The space of $C^{1 + a c}$ actions of $Z^{d}$ on a one-dimensional manifold is path-connected

Hélène Eynard-Bontemps, Andrés Navas

We show path-connectedness for the space of $Z^{d}$ actions by $C^{1}$ diffeomorphisms with absolutely continuous derivative on both the closed interval and the circle. We als…

How (not) to prove (un)distortion for diffeomorphisms of one-manifolds

All, most, some? On diffeomorphisms of the interval that are distorted and/or conjugate to powers of themselves

The space of C1+ac actions of Zd on a one-dimensional manifold is path-connected

The space of $C^{1 + a c}$ actions of $Z^{d}$ on a one-dimensional manifold is path-connected