André de Carvalho

activity

19972023

most citedNew Rotation Sets in a Family of Torus Homeomorphisms

30 citations · 66 across the 13 of their papers we have counts for

collaborators

Showing 2023 · math.DSShow all

2 papers · 2 filters

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 $F_{λ}$ of homeomorphisms of the sphere $S^{2}$ , for which each $F_{λ}$ is a measurable pseudo-Anosov map. Measurable pseudo-Anosov maps are gene…