We study the extinction time τ of the contact process started with full occupancy, on finite trees of bounded degree. We show that, if the infection rate is larger than the critical rate for the… (More)

For the random walk among random conductances, we prove that the environment viewed by the particle converges to equilibrium polynomially fast in the variance sense, our main hypothesis being that… (More)

Abstract. This article deals with the numerical approximation of effective coefficients in stochastic homogenization of discrete linear elliptic equations. The originality of this work is the use of… (More)

We consider the simple random walk on Z evolving in a potential of independent and identically distributed random variables taking values in [0,+∞]. We give optimal conditions for the existence of… (More)

We consider the random walk among random conductances on Z. We assume that the conductances are independent, identically distributed and uniformly bounded away from 0 and infinity. We obtain a… (More)

We show global well-posedness of the dynamic Φ4 model in the plane. The model is a non-linear stochastic PDE that can only be interpreted in a “renormalised” sense. Solutions take values in suitable… (More)

We consider the contact process with infection rate λ on a random (d + 1)-regular graph with n vertices, Gn. We study the extinction time τGn (that is, the random amount of time until the infection… (More)

We show global well-posedness of the dynamic Φ3 model on the torus. This model is given by a non-linear stochastic PDE that can only be interpreted in a “renormalised” sense. A local well-posedness… (More)

We investigate the global fluctuations of solutions to elliptic equations with random coefficients in the discrete setting. In dimension d ⩾ 3 and for i.i.d. coefficients, we show that after a… (More)

Abstract. This article is devoted to the analysis of a Monte-Carlo method to approximate effective coefficients in stochastic homogenization of discrete elliptic equations. We consider the case of… (More)