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math.DS2023
The Dynamics of Measurable Pseudo-Anosov Maps
Philip Boyland, André de Carvalho, Toby Hall
We study the dynamics of measurable pseudo-Anosov homeomorphisms of surfaces, a generalization of Thurston's pseudo-Anosov homeomorphisms. A measurable pseudo-Anosov map has a tran…
math.DS2023
Unimodal Measurable Pseudo-Anosov Maps
Philip Boyland, André de Carvalho, Toby Hall
We exhibit a continuously varying family of homeomorphisms of the sphere , for which each is a measurable pseudo-Anosov map. Measurable pseudo-Anosov maps are gene…