Abstract
Abstract
In this paper we construct uniformly expanding random walks on smooth manifolds. Potrie showed that given any open set U of
Diff
vol
∞
(
T
2
)
, there exists an uniformly expanding random walk µ supported on a finite subset of U. In this paper we extend those results to closed manifolds of any dimension, building on the work of Potrie and Chung to build a robust class of examples. Adapting to higher dimensions, we work with a new definition of uniform expansion that measures volume growth in subspaces rather than norm growth of single vectors.
Funder
Graduate Fellowships for STEM Diversity
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
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