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5 papers · 2 filters
Large deviation principle at speed for the random metric in first-passage percolation
Julien Verges
Consider standard first-passage percolation on . We study the lower-tail large deviations of the rescaled random metric restricted to a box. If…
A Kesten Stigum theorem for Galton-Watson processes with infinitely many types in a random environment
Maxime Ligonnière
In this paper, we study a Galton-Watson process with infinitely many types in a random ergodic environment . We focus on the supercritical regime of…
Disjoint finite geodesics in first-passage percolation
Olivier Durieu, Jean-Baptiste Gouéré, Antonin Jacquet
We investigate first-passage percolation on the lattice for dimensions . Each edge of the graph is assigned an independent copy of a non-negative random variab…
Large deviation principle at speed for the random metric in first-passage percolation
Julien Verges
We consider the standard first passage percolation model on with bounded and bounded away from zero weights. We show that the rescaled passage time $\widetilde{\mathb…
Penalization of Galton Watson trees with marked vertices
Romain Abraham, Sonia Boulal, Pierre Debs
We consider a Galton-Watson tree where each node is marked independently of each others with a probability depending on itsout-degree. Using a penalization method, we exhibit new m…