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math.DS2021★ 1 cited
Isomorphisms of Poisson systems over locally compact groups
Amanda Wilkens
A Poisson system is a Poisson point process and a group action, together forming a measure-preserving dynamical system. Ornstein and Weiss proved Poisson systems over many amenable…
math.DS2017★ 2 cited
Equivariant thinning over a free group
Terry Soo, Amanda Wilkens
We construct entropy increasing monotone factors in the context of a Bernoulli shift over the free group of rank at least two.