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math.PR2015
Continuity of the time and isoperimetric constants in supercritical percolation
Olivier Garet, Régine Marchand, Eviatar B. Procaccia +1
We consider two different objects on super-critical Bernoulli percolation on : the time constant for i.i.d. first-passage percolation (for ) and the isoperi…
math.PR2015
Continuity of the asymptotic shape of the supercritical contact process
Olivier Garet, Régine Marchand, Marie Théret
We prove the continuity of the shape governing the asymptotic growth of the supercritical contact process in Z^d , with respect to the infection parameter. The proof is valid in an…