Statistics Seminars: "Central Limit Theorems in Percolation "
13 October 2000 00:00 in CM221
"The number of open clusters in a box has become the canonical object to study when proving central limit theorems (CLTs) in percolation. Stein's method is a powerful way to prove CLTs but has generally only been applied in situations where distributions are explicitly known. The talk will show how to apply Stein's method to percolation, where little is known about the distribution of cluster sizes. If time permits, an extension of Mathew Penrose's work on Martingale CLTs in percolation will also be presented. "
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