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

Izumi Okada

Stochastic Processes and their Applications, 2020, vol. 130, issue 1, 108-138

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

Keywords: Simple random walk; Local time (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spa.2019.01.007

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