160 citations · 166 across the 5 of their papers we have counts for
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Repulsion of an evolving surface on walls with random heights
L. R. G. Fontes, M. Vachkovskaia, A. Yambartsev
We consider the motion of a discrete random surface interacting by exclusion with a random wall. The heights of the wall at the sites of are i.i.d.\ random variables. Fixed…
Coarsening, Nucleation, and the Marked Brownian Web
L. R. G. Fontes, M. Isopi, C. M. Newman +1
Coarsening on a one-dimensional lattice is described by the voter model or equivalently by coalescing (or annihilating) random walks representing the evolving boundaries between re…
On symmetric random walks with random conductances on
L. R. G. Fontes, P. Mathieu
We study models of continuous time, symmetric, -valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in…
The Brownian web: Characterization and convergence
L. R. G. Fontes, M. Isopi, C. M. Newman +1
The Brownian web (BW) is the random network formally consisting of the paths of coalescing one-dimensional Brownian motions starting from every space-time point in R\timesR. We ext…
The Brownian Web: Characterization and Convergence
L. R. G. Fontes, M. Isopi, C. M. Newman +1
The Brownian Web (BW) is the random network formally consisting of the paths of coalescing one-dimensional Brownian motions starting from every space-time point in ${\mathbb R}\tim…
Random walks with strongly inhomogeneous rates and singular diffusions: convergence, localization and aging in one dimension
L. R. G. Fontes, M. Isopi, C. M. Newman
Let denote i.i.d.~positive random variables with common distribution and (conditional on ) let , be a continuous-time…