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September 2019 Geometric structures of late points of a two-dimensional simple random walk
Izumi Okada
Ann. Probab. 47(5): 2869-2893 (September 2019). DOI: 10.1214/18-AOP1325

Abstract

As Dembo (In Lectures on Probability Theory and Statistics (2005) 1–101 Springer, and International Congress of Mathematicians, Vol. III (2006) 535–558, Eur. Math. Soc.) suggested, we consider the problem of late points for a simple random walk in two dimensions. It has been shown that the exponents for the number of pairs of late points coincide with those of favorite points and high points in the Gaussian free field, whose exact values are known. We determine the exponents for the number of $j$-tuples of late points on average.

Citation

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Izumi Okada. "Geometric structures of late points of a two-dimensional simple random walk." Ann. Probab. 47 (5) 2869 - 2893, September 2019. https://doi.org/10.1214/18-AOP1325

Information

Received: 1 March 2018; Revised: 1 November 2018; Published: September 2019
First available in Project Euclid: 22 October 2019

zbMATH: 07145305
MathSciNet: MR4021239
Digital Object Identifier: 10.1214/18-AOP1325

Subjects:
Primary: 60G60
Secondary: 60J10

Rights: Copyright © 2019 Institute of Mathematical Statistics

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Vol.47 • No. 5 • September 2019
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