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math.PR2022
Almost sharp sharpness for Poisson Boolean percolation
Barbara Dembin, Vincent Tassion
We consider Poisson Boolean percolation on with power-law distribution on the radius with a finite -moment for . We prove that subcritical sharpness occurs…
math.PR2022
Locality of percolation for graphs with polynomial growth
Daniel Contreras, Sébastien Martineau, Vincent Tassion
Schramm's Locality Conjecture asserts that the value of the critical percolation parameter of a graph satisfying depends only on its local structure. In this note, we…