528 citations
- Courant Institute of Mathematical SciencesUS36 papers
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Showing 2004 · math.PRShow all
3 papers · 2 filters
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…
math.PR2004
A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains
Sunder Sethuraman, S. R. S. Varadhan
In 1956, Dobrushin proved a definitive central limit theorem for non-homogeneous Markov chains. In this note, a shorter and different proof elucidating more the assumptions is give…
math.PR2004★ 3 cited
Random subgraphs of finite graphs: III. The phase transition for the -cube
Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2
We study random subgraphs of the -cube , where nearest-neighbor edges are occupied with probability . Let be the value of for which the expected clust…