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4 papers · 1 filter
Competition interfaces and second class particles
Pablo A. Ferrari, Leandro P. R. Pimentel
The one-dimensional nearest-neighbor totally asymmetric simple exclusion process can be constructed in the same space as a last-passage percolation model in Z^2. We show that the t…
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…
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…