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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…