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math.PR2021★ 4 cited
Uniform even subgraphs and graphical representations of Ising as factors of i.i.d
Omer Angel, Gourab Ray, Yinon Spinka
We prove that the Loop O(1) model, a well-known graphical expansion of the Ising model, is a factor of i.i.d. on unimodular random rooted graphs under various conditions, including…
math.PR2021
A tale of two balloons
Omer Angel, Gourab Ray, Yinon Spinka
From each point of a Poisson point process start growing a balloon at rate 1. When two balloons touch, they pop and disappear. Is every point contained in balloons infinitely often…