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math.PR2021★ 2 cited
Supercritical percolation on finite transitive graphs I: Uniqueness of the giant component
Philip Easo, Tom Hutchcroft
Let be a sequence of finite, connected, vertex-transitive graphs with volume tending to infinity. We say that a sequence of parameters $…
math.PR2021
The wired arboreal gas on regular trees
Philip Easo
We study the weak limit of the arboreal gas along any exhaustion of a regular tree with wired boundary conditions. We prove that this limit exists, does not depend on the choice of…