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We present a perfect simulation algorithm for measures that are absolutely continuous with respect to some Poisson process and can be obtained as invariant measures of birth-and-death processes.… (More)

We study the competition interface between two growing clusters in a growth model associated to last-passage percolation. When the initial unoccupied set is approximately a cone, we show that this… (More)

We study interacting spin (particle) systems on a lattice under the combined influence of spin flip (Glauber) and simple exchange (Kawasaki) dynamics. We prove that when the particle-conserving… (More)

AbstractLet J(t) be the the integrated flux of particles in the symmetric simple exclusion process starting with the product invariant measure νρ with density ρ. We compute its rescaled asymptotic… (More)

We prove that certain (discrete time) probabilistic automata which can be absorbed in a “null state” have a normalized quasi-stationary distribution (when restricted to the states other than the null… (More)

We consider birth-and-death processes of objects (animals) defined in Z d having unit death rates and random birth rates. For animals with uniformly bounded diameter we establish conditions on the… (More)

AbstractWe study one-dimensional Brownian motion with constant drift toward the origin and initial distribution concentrated in the strictly positive real line. We say that at the first time the… (More)

We present an algorithm to reconstruct gray scale images corrupted by noise. We use a Bayesian approach. The unknown original image is assumed to be a realization of a Markov random field on a finite… (More)

We construct an infinite volume spatial random permutation $(\chi,\sigma)$, where $\chi\subset\mathbb R^d$ is a point process and $\sigma:\chi\to \chi$ is a permutation (bijection), associated to the… (More)