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arXiv:2109.10260 [math.PR]AbstractReferencesReviewsResources

On the rate of escape or approach to the origin of a random string

Phúc Lâm

Published 2021-09-21Version 1

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 $d \ge 7$. We also provide a bound for the rate of approach to the origin in dimension $d = 6$.

Comments: 15 pages
Categories: math.PR
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