Mathematics – Dynamical Systems
Scientific paper
2011-07-05
Mathematics
Dynamical Systems
In french. 25 pages, no figure
Scientific paper
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.
Beguin Francois
Calvez Patrice Le
Firmo Saponga
Miernowski Tomasz
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