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2020 Deviations for the capacity of the range of a random walk
Amine Asselah, Bruno Schapira
Electron. J. Probab. 25: 1-28 (2020). DOI: 10.1214/20-EJP560

Abstract

We obtain estimates for large and moderate deviations for the capacity of the range of a random walk on $\mathbb {Z}^{d}$, in dimension $d\ge 5$, both in the upward and downward directions. The results are analogous to those we obtained for the volume of the range in two companion papers [AS17a, AS19]. Interestingly, the main steps of the strategy we developed for the latter apply in this seemingly different setting, yet the details of the analysis are different.

Citation

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Amine Asselah. Bruno Schapira. "Deviations for the capacity of the range of a random walk." Electron. J. Probab. 25 1 - 28, 2020. https://doi.org/10.1214/20-EJP560

Information

Received: 19 May 2020; Accepted: 18 November 2020; Published: 2020
First available in Project Euclid: 23 December 2020

Digital Object Identifier: 10.1214/20-EJP560

Subjects:
Primary: 60F05, 60G50

JOURNAL ARTICLE
28 PAGES


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Vol.25 • 2020
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