Des points fixes communs pour des difféomorphismes de S^2 qui commutent et préservent une mesure de probabilité

Mathematics – Dynamical Systems

Scientific paper

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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.

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