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20 papers · 1 filter
Lower large deviations for the maximal flow through a domain of in first passage percolation
Raphaël Cerf, Marie Théret
We consider the standard first passage percolation model in the rescaled graph for , and a domain of boundary in . Let and $Γ^…
The 2D Ising model near criticality: a FK percolation analysis
Raphael Cerf, Reda Messikh
We study the 2d-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and th…
Geodesics in large planar maps and in the Brownian map
Jean-Francois Le Gall
We study geodesics in the random metric space called the Brownian map, which appears as the scaling limit of large planar maps. In particular, we completely describe geodesics star…
Convergence of Point Processes with Weakly Dependent Points
Raluca Balan, Sana Louhichi
For each , let be a sequence of strictly stationary random variables. In this article, we give some asymptotic weak dependence conditions…
Coalescent processes in subdivided populations subject to recurrent mass extinctions
Jesse E. Taylor, Amandine Veber
We investigate the infinitely many demes limit of the genealogy of a sample of individuals from a subdivided population subject to sporadic mass extinction events. By exploiting a…
Quenched convergence of a sequence of superprocesses in R^d among Poissonian obstacles
Amandine Veber
We prove a convergence theorem for a sequence of super-Brownian motions moving among hard Poissonian obstacles, when the intensity of the obstacles grows to infinity but their diam…