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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…
math.DS2025
On equivalence of quenched and annealed statistical properties for conservative IID random dynamical systems
Jonathan DeWitt, Dmitry Dolgopyat
In this paper, we prove several theorems relating annealed exponential mixing of the two-point motion with quenched properties of the one-point motion for conservative IID random d…
math.DS2025
Conservative Coexpanding on Average Diffeomorphisms
Jonathan DeWitt, Dmitry Dolgopyat
We show that the generator of a conservative IID random system whose dynamics expands on average codimension planes has an essential spectral radius strictly smaller than o…