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math.PR2013
Locality of percolation for abelian Cayley graphs
Sebastien Martineau, Vincent Tassion
We prove that the value of the critical probability for percolation on an abelian Cayley graph is determined by its local structure. This is a partial positive answer to a conjectu…
math.PR2013★ 2 cited
Confidence intervals for the critical value in the divide and color model
András Bálint, Vincent Beffara, Vincent Tassion
We obtain confidence intervals for the location of the percolation phase transition in Häggström's divide and color model on the square lattice and the hexagonal lat…