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

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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.

Original languageEnglish
Pages (from-to)108-138
Number of pages31
JournalStochastic Processes and their Applications
Volume130
Issue number1
DOIs
Publication statusPublished - Jan 2020

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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