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Exponents for the number of pairs of $α$-favorite points of simple random walk in ${\mathbb Z}^2$ (1602.05641v2)
Published 18 Feb 2016 in math.PR
Abstract: We investigate a problem suggested by Dembo, Peres, Rosen, and Zeitouni, which states that the growth exponent of favorite points associated with a simple random walk in ${\mathbb Z}2$ coincides, on average and almost surely, with those of late points and high points associated with the discrete Gaussian free field.