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 ${\mathbb{Z}}^d$ : the time constant for i.i.d. first-passage percolation (for $d\ge 2$) and the isoperi…