3 papers
math.DS2026
Ergodicity of (co)expanding on average random dynamical systems
Jonathan DeWitt, Dmitry Dolgopyat, Zhiyuan Zhang
We prove ergodicity for random dynamics satisfying some expansion and irreducibility conditions. As a particular application, we show that if , $d\ge 2…
math.DS2024
Anosov diffeomorphisms of open surfaces
Snir Ben Ovadia, Jonathan DeWitt
We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomo…
math.DS2023
Dominated splitting from constant periodic data and global rigidity of Anosov automorphisms
Jonathan DeWitt, Andrey Gogolev
We show that a cocycle over a hyperbolic system with constant periodic data has a dominated splitting whenever the periodic data indicates it should. Th…