113 citations · 543 across the 64 of their papers we have counts for
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math.PR2006★ 34 cited
Component sizes of the random graph outside the scaling window
Asaf Nachmias, Yuval Peres
We provide simple proofs describing the behavior of the largest component of the Erdos-Renyi random graph G(n,p) outside of the scaling window, p={1+\eps(n) \over n} where \eps(n)…
math.AP2006★ 1 cited
Tug of war with noise: a game theoretic view of the p-Laplacian
Yuval Peres, Scott Sheffield
Fix a bounded domain Omega in R^d, a continuous function F on the boundary of Omega, and constants epsilon>0, p>1, and q>1 with p^{-1} + q^{-1} = 1. For each x in Omega, let u^epsi…
math.PR2006
A Central Limit Theorem for biased random walks on Galton-Watson trees
Yuval Peres, Ofer Zeitouni
Let be a rooted Galton-Watson tree with offspring distribution that has , mean and exponential tails. Consider the -biased random wal…