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Variance limite d'une marche aléatoire réversible en milieu aléatoire sur Z (Limit of the Variance of a Reversible Random Walk in Random Medium on Z)
The Central Limit Theorem for the random walk on a stationary random network of conductances has been studied by several authors. In one dimension, when conductances and resistances are integrable,Expand
A local limit theorem in stationary random environment of conductances on Z. --- Un théorème limite local en environnement aléatoire stationnaire de conductances sur Z.
We prove a local limit theorem for nearest neighbours random walks in stationary random environment of conductances on Z without using any of both classic assumptions of uniform ellipticity andExpand
A local limit theorem in stationary random environment of conductances on Z
We prove a local limit theorem for nearest neighbours random walks in stationary random environment of conductances on Z without using any of both classic assumptions of uniform ellipticity andExpand
On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups
Abstract In this paper, we prove that any integrable cocycle defined on a “regular” dynamical system, non-atomic and ergodic, and with values in certain connected Lie groups (among which are theExpand
A simple proof of a recurrence theorem for random walks in $\Z^{2}$
In this note, we prove without using Fourier analysis that the symmetric square integrable random walks in $\Z^{2}$ are recurrent.
Geodesics and Recurrence of Random Walks in Disordered Systems
In a first-passage percolation model on the square lattice $Z^2$, if the passage times are independent then the number of geodesics is either $0$ or $+\infty$. If the passage times are stationary,Expand