Exponents for the number of pairs of α-favorite points of simple random walk in \mathbb Z²

2016/02/18 by Izumi Okada, Okada, Izumi
Mathematics · #FOS: Mathematics #Limits and Structures in Graph Theory #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1602.05641

openalex publication_date 2016/02/18 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

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 Z² coincides, on average and almost surely, with those of late points and high points associated with the discrete Gaussian free field.

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