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

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  • Okada, Izumi

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.

Suggested Citation

  • Okada, Izumi, 2020. "Exponents for the number of pairs of α-favorite points of a simple random walk in Z2," Stochastic Processes and their Applications, Elsevier, vol. 130(1), pages 108-138.
    • Handle: RePEc:eee:spapps:v:130:y:2020:i:1:p:108-138
    DOI: 10.1016/j.spa.2019.01.007
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    References listed on IDEAS

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    1. Okada, Izumi, 2016. "Frequently visited sites of the inner boundary of simple random walk range," Stochastic Processes and their Applications, Elsevier, vol. 126(5), pages 1412-1432.
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      Keywords

      Simple random walk; Local time;

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