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20052025
most citedMean-field driven first-order phase transitions in systems with long-range interactions

51 citations · 243 across the 25 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.PR2009★ 1 cited

Simple Random Walk on Long Range Percolation Clusters II: Scaling Limits

Nicholas Crawford, Allan Sly

We study limit laws for simple random walks on supercritical long range percolation clusters on . For the long range percolation model, the probability that two ver…

math.PR2009★ 6 cited

Heat Kernel Upper Bounds on Long Range Percolation Clusters

Nicholas Crawford, Allan Sly

In this paper, we derive upper bounds for the heat kernel of the simple random walk on the infinite cluster of a supercritical long range percolation process. For any an…