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math.PR2011
Distances in the highly supercritical percolation cluster
Anne-Laure Basdevant, Nathanaël Enriquez, Lucas Gerin
On the supercritical percolation cluster with parameter p, the distances between two distant points of the axis are asymptotically increased by a factor 1+(1-p)/2+o(1-p) with respe…
math.PR2011
A Branching-selection process related to censored Galton-Walton processes
Olivier Couronné, Lucas Gerin
We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by Bérard and Gouéré (2010). The proof is based on a conne…