6 citations · 7 across the 7 of their papers we have counts for
8 papers
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…
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…
The space of actions of on a one-dimensional manifold is path-connected
Hélène Eynard-Bontemps, Andrés Navas
We show path-connectedness for the space of actions by diffeomorphisms with absolutely continuous derivative on both the closed interval and the circle. We als…
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…
On the failure of linearization for germs of hyperbolic vector fields in dimension one
Hélène Eynard-Bontemps, Andrés Navas
We investigate conjugacy classes of germs of hyperbolic 1-dimensional vector fields at the origin in low regularity. We show that the classical linearization theorem of Sternberg s…
(Arc-)connectedness for the space of -actions by diffeomorphisms on 1-dimensional manifolds
Hélène Eynard-Bontemps, Andrés Navas
We deal with the general problem of connectedness for the space of actions by (orientation-preserving) diffeomorphisms of a compact 1-manifold. We prove two results.…
Mather invariant, distortion, and conjugates for diffeomorphisms of the interval
Hélène Eynard-Bontemps, Andrés Navas
We relate the Mather invariant of diffeomorphisms of the (closed) interval to their asymptotic distortion. For maps with only parabolic fixed points, we show that the former is tri…
Smooth times of a flow in dimension 1
Hélène Eynard-Bontemps
Let be an irrational number and an interval of . If is Diophantine, we show that any one-parameter group of homeomorphisms of whose time- and map…