Exponents for the number of pairs of ${\alpha}$-favorite points of simple random walk in ${\mathbb Z}^2$

Izumi Okada

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arXiv · 1602.05641

Exponents for the number of pairs of ${\alpha}$-favorite points of simple random walk in ${\mathbb Z}^2$

Izumi Okada

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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 ${\mathbb Z}^2$ 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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Izumi Okada. 2016-02-18. Exponents for the number of pairs of ${\alpha}$-favorite points of simple random walk in ${\mathbb Z}^2$. https://arxiv.org/abs/1602.05641

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