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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 and , does there exist a orientation preserving compactly…
math.DS2025
On residues and conjugacies for germs of 1-D parabolic diffeomorphisms in finite regularity
Hélène Eynard-Bontemps, Andrés Navas
We study conjugacy classes of germs of non-flat diffeomorphisms of the real line fixing the origin. Based on the work of Takens and Yoccoz, we establish results that are sharp in t…
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…