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math.DS2024
Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi
Emmanuel Militon
We give a new proof of a result by Fathi, which states that, to any homeomorphism of a closed surface which is isotopic to a pseudo-Anosov homeomorphism, we can associate a stable…
math.DS2024
Random actions of homeomorphisms of Cantor sets embedded in a line and Tits alternative
Dominique Malicet, Emmanuel Militon
In 2000, Margulis proved that any group of homeomorphisms of the circle either preserves a probabilty measure on the circle or contains a free subgroup in two generators, which is…