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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.DS2025
On Rapid mixing for random walks on nilmanifolds
Dmitry Dolgopyat, Spencer Durham, Minsung Kim
We prove rapid mixing for almost all random walks generated by translations on an arbitrary nilmanifold under mild assumptions on the size of . For several classical classes…