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math.DS2026
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…
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…