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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.DS2024
Exact quadratic growth for the derivatives of iterates of interval diffeomorphisms with only parabolic fixed points
Leonardo Dinamarca Opazo, Andrés Navas
We consider diffeomorphisms of a closed interval with only parabolic fixed points. We show that the maximal growth of the derivatives of the iterates of such a diffeomorphism…
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…