597 citations · 2.2k across the 55 of their papers we have counts for
Showing 2005 · math.PRShow all
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math.PR2005★ 59 cited
Phase coexistence of gradient Gibbs states
Marek Biskup, Roman Kotecky
We consider the (scalar) gradient fields --with denoting the nearest-neighbor edges in --that are distributed according to the Gibbs measure proportional to $\te…
math.PR2005★ 18 cited
Large-deviations/thermodynamic approach to percolation on the complete graph
Marek Biskup, Lincoln Chayes, S. Alex Smith
We present a large-deviations/thermodynamic approach to the classic problem of percolation on the complete graph. Specifically, we determine the large-deviation rate function for t…
math.PR2005★ 228 cited
Quenched invariance principle for simple random walk on percolation clusters
Noam Berger, Marek Biskup
We consider the simple random walk on the (unique) infinite cluster of super-critical bond percolation in with . We prove that, for almost every percolation configura…