4 citations · 7 across the 5 of their papers we have counts for
5 papers
Vanishing uniqueness thresholds in Voronoi percolation on products
Matteo D'Achille, Jan Grebík, Ali Khezeli +2
We study Poisson--Voronoi percolation and its discrete analogue Bernoulli--Voronoi percolation in spaces with a non-amenable product structure. We develop a new method of proving s…
Poisson-Voronoi tessellations and fixed price in higher rank
Mikolaj Fraczyk, Sam Mellick, Amanda Wilkens
Let be a higher rank semisimple real Lie group or the product of at least two automorphism groups of regular trees. We prove all probability measure preserving actions of latti…
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…
Finitary isomorphisms of Poisson point processes
Terry Soo, Amanda Wilkens
As part of a general theory for the isomorphism problem for actions of amenable groups, Ornstein and Weiss (J. Anal. Math. 48:1-141,1987) proved that any two Poisson point processe…
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.