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2022 On the rate of escape or approach to the origin of a random string
Phúc Lâm
Author Affiliations +
Electron. Commun. Probab. 27: 1-13 (2022). DOI: 10.1214/22-ECP451

Abstract

In this paper, we extend upon a result by Mueller and Tribe regarding Funaki’s model of a random string. Specifically, we examine the rate of escape of this model in dimensions d7. We also provide a bound for the rate of approach to the origin in dimension d=6.

Funding Statement

The author is supported by a Discover Grant for Undergraduate Summer Research at the University of Rochester.

Acknowledgments

The author would like to thank Carl Mueller for his mentorship and invaluable suggestions.

Citation

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Phúc Lâm. "On the rate of escape or approach to the origin of a random string." Electron. Commun. Probab. 27 1 - 13, 2022. https://doi.org/10.1214/22-ECP451

Information

Received: 25 September 2021; Accepted: 22 January 2022; Published: 2022
First available in Project Euclid: 28 January 2022

Digital Object Identifier: 10.1214/22-ECP451

Subjects:
Primary: 60H15

Keywords: Rate of escape , recurrence , Stochastic heat equation

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