4 papers · 1 filter
A finite Livshits theorem and local length spectrum rigidity
Jonathan DeWitt, Spencer Durham, James Marshall Reber +1
We show that for closed negatively curved Riemannian manifolds whose length spectrum is exponentially separated, the length spectrum is a local isometry invariant. In particular, t…
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…
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…
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…