2 citations · 5 across the 8 of their papers we have counts for
10 papers
The Anosov-Katok method and pseudo-rotations in symplectic dynamics
Frédéric Le Roux, Sobhan Seyfaddini
We prove that toric symplectic manifolds admit Hamiltonian pseudo-rotations with a finite, and in a sense minimal, number of ergodic measures. The set of ergodic measures of these…
An introduction to Handel's homotopy Brouwer theory
Frédéric Le Roux
Homotopy Brouwer theory is a tool to study the dynamics of surface homeomorphisms. We introduce and illustrate the main objects of homotopy Brouwer theory, and provide a proof of H…
On closed subgroups of the group of homeomorphisms of a manifold
Frédéric Le Roux
Let be a triangulable compact manifold. We prove that, among closed subgroups of $\homeo_{0}(M)$ (the identity component of the group of homeomorphisms of ), the subgroup co…
Simplicity of the group of compactly supported area preserving homeomorphisms of the open disc and fragmentation of symplectic diffeomorphisms
Frédéric Le Roux
In 1980, Albert Fathi asked whether the group of area-preserving homeomorphisms of the 2-disc that are the identity near the boundary is a simple group. In this paper, we show that…
Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds
François Béguin, Sylvain Crovisier, Frédéric Le Roux
We prove that the family of measured dynamical systems which can be realised as uniquely ergodic minimal homeomorphisms on a given manifold (of dimension at least two) is stable un…
A topological characterisation of holomorphic parabolic germs in the plane
Frédéric Le Roux
Gambaudo and Pécou introduced the ``linking property'' to study the dynamics of germs of planar homeomorphims and provide a new proof of Naishul theorem in their paper "A topologic…