434 citations
- Universidade Federal de São CarlosBR4 papers
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- Galaxies, Etoiles, Physique et InstrumentationFR2 papers
- Max Planck Institute for the Physics of Complex SystemsDE2 papers
- New York UniversityUS2 papers
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Showing 2004 · math.PRShow all
3 papers · 2 filters
math.PR2004★ 75 cited
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…
math.PR2004
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…
math.PR2004
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…