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19982004
most citedRandom Walk in a Random Environment and First-Passage Percolation on Trees

2 citations · 3 across the 2 of their papers we have counts for

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Showing 2001Show all

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math.PR2001

Coupling and Bernoullicity in random-cluster and Potts models

Olle Haggstrom, Johan Jonasson, Russell Lyons

An explicit coupling construction of random-cluster measures is presented. As one of the applications of the construction, the Potts model on amenable Cayley graphs is shown to exh…

math.PR2001

Change Intolerance in Spanning Forests

Deborah Heicklen, Russell Lyons

Call a percolation process on edges of a graph change intolerant if the status of each edge is almost surely determined by the status of the other edges. We give necessary and suff…