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2018 The dimension of the range of a transient random walk
Nicos Georgiou, Davar Khoshnevisan, Kunwoo Kim, Alex D. Ramos
Electron. J. Probab. 23: 1-31 (2018). DOI: 10.1214/18-EJP201

Abstract

We find formulas for the macroscopic Minkowski and Hausdorff dimensions of the range of an arbitrary transient walk in $\mathbb{Z} ^d$. This endeavor solves a problem of Barlow and Taylor (1991).

Citation

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Nicos Georgiou. Davar Khoshnevisan. Kunwoo Kim. Alex D. Ramos. "The dimension of the range of a transient random walk." Electron. J. Probab. 23 1 - 31, 2018. https://doi.org/10.1214/18-EJP201

Information

Received: 21 December 2017; Accepted: 18 July 2018; Published: 2018
First available in Project Euclid: 12 September 2018

zbMATH: 06964777
MathSciNet: MR3858911
Digital Object Identifier: 10.1214/18-EJP201

Subjects:
Primary: 60G50
Secondary: 60J45, 60J80

JOURNAL ARTICLE
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Vol.23 • 2018
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