26 citations · 60 across the 13 of their papers we have counts for
13 papers
A note on weak conjugacy for homeomorphisms of surfaces
Frédéric Le Roux, Alejandro Passeggi, Martin Sambarino +1
We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.
Automorphisms of some variants of fine graphs
Frédéric Le Roux, Maxime Wolff
Recently Bowden, Hensel and Webb defined the fine curve graph for surfaces, extending the notion of curve graphs for the study of homeomorphism or diffeomorphism groups of surfaces…
Barcodes and area-preserving homeomorphisms
Frédéric Le Roux, Sobhan Seyfaddini, Claude Viterbo
In this paper we use the theory of barcodes as a new tool for studying dynamics of area-preserving homeomorphisms. We will show that the barcode of a Hamiltonian diffeomorphism of…
Strong distortion in transformation groups
Frédéric Le Roux, Kathryn Mann
We discuss boundedness and distortion in transformation groups. We show that the groups and have the strong distor…
Fixed point sets of isotopies on surfaces
François Béguin, Sylvain Crovisier, Frédéric Le Roux
We consider a self-homeomorphism h of some surface S. A subset F of the fixed point set of h is said to be unlinked if there is an isotopy from the identity to h that fixes every p…
Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
Vincent Humilière, Frédéric Le Roux, Sobhan Seyfaddini
Inspired by Le Calvez' theory of transverse foliations for dynamical systems of surfaces, we introduce a dynamical invariant, denoted by N, for Hamiltonians of any surface other th…
An index for Brouwer homeomorphisms and homotopy Brouwer theory
Frédéric Le Roux
We use the homotopy Brouwer theory of Handel to define a Poincar{é} index between two orbits for an orientation preserving fixed point free homeomorphism of the plane. Furthermore,…
Free planar actions of the Klein bottle group
Frédéric Le Roux
We describe the structure of the free actions of the Klein bottle group by orientation preserving homeomorphisms of the plane. This group is generated by two elements , where…
There is no minimal action of Z^2 on the plane
Frédéric Le Roux
In this paper it is proved that there is no minimal action (i.e. every orbit is dense) of Z^2 on the plane. The proof uses the non-existence of minimal homeomorphisms on the infini…
Flowability of plane homeomorphisms
Frederic Le Roux, Anthony O'Farrell, Maria Roginskaya +1
We describe necessary and sufficient conditions for an orientation preserving fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar…
Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy-Rees technique
François Béguin, Sylvain Crovisier, Frédéric Le Roux
Mary Rees has constructed a minimal homeomorphism of the 2-torus with positive topological entropy. This homeomorphism f is obtained by enriching the dynamics of an irrational rota…
Un indice qui affine l'indice de Poincaré-Lefschetz pour les homéomorphismes de surfaces
Frédéric Le Roux
We study the dynamics of surface homeomorphisms around isolated fixed points whose Poincaré-Lefschetz index is not equal to 1. We construct a new conjugacy invariant, which is a cy…
Structure des homeomorphismes de Brouwer
Frederic Le Roux
For every Brouwer (ie planar, fixed point free, orientation preserving) homeomorphism h there exists a covering of the plane by translation domains, invariant simply-connected open…