Des points fixes communs pour des diff\'eomorphismes de S2 qui commutent et pr\'eservent une mesure de probabilit\'e
Abstract
We prove the existence of common fixed points for commuting homeomorphisms of the plane R2 or the sphere S2, which preserve a probability measure. For example: some commuting C1-diffeomorphisms of S2, 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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