Brownian earthworm

Krzysztof Burdzy; Zhen Qing Chen; Soumik Pal

doi:10.1214/12-AOP831

Brownian earthworm

Krzysztof Burdzy^*, Zhen Qing Chen, Soumik Pal

^*此作品的通讯作者

University of Washington

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We prove that the distance between two reflected Brownian motions, driven by the same white noise, outside a sphere in a 3-dimensional flat torus does not converge to 0, a.s., if the radius of the sphere is sufficiently small, relative to the size of the torus.

源语言	英语
页（从-至）	4002-4049
页数	48
期刊	Annals of Probability
卷	41
期	6
DOI	https://doi.org/10.1214/12-AOP831
出版状态	已出版 - 11月 2013
已对外发布	是

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Burdzy, K., Chen, Z. Q., & Pal, S. (2013). Brownian earthworm. Annals of Probability, 41(6), 4002-4049. https://doi.org/10.1214/12-AOP831

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Brownian earthworm

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