B. Dembin: The time constant for Bernoulli percolation is Lipschitz continuous strictly above

Abstract: We consider the standard model of i.i.d. first passage percolation on given a distribution on ( is allowed). When . In this case, the travel time between two points is equal to the length of the shortest path between the two points in a bond percolation of parameter . We show that the function is Lipschitz continuous on every interval , where .

This is a joint work with Raphaël Cerf.