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arXiv · 2109.10260

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

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

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Phúc Lâm. 2021-09-21. On the rate of escape or approach to the origin of a random string. https://arxiv.org/abs/2109.10260

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