Des points fixes communs pour des diff\'eomorphismes de S^2 qui commutent et pr\'eservent une mesure de probabilit\'e
Dynamical Systems
2011-07-06 v1
Abstract
We prove the existence of common fixed points for commuting homeomorphisms of the plane R^2 or the sphere S^2, which preserve a probability measure. For example: some commuting C^1-diffeomorphisms of S^2, which are sufficiently close to the identity and preserve a probability measure whose support is not a single point, have at least two common fixed points.
Cite
@article{arxiv.1107.0817,
title = {Des points fixes communs pour des diff\'eomorphismes de S^2 qui commutent et pr\'eservent une mesure de probabilit\'e},
author = {Francois Beguin and Saponga Firmo and Patrice Le Calvez and Tomasz Miernowski},
journal= {arXiv preprint arXiv:1107.0817},
year = {2011}
}
Comments
In french. 25 pages, no figure