Shy couplings

Itai Benjamini; Krzysztof Burdzy; Zhen Qing Chen

doi:10.1007/s00440-006-0008-3

Shy couplings

Itai Benjamini, Krzysztof Burdzy^*, Zhen Qing Chen

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

A pair (X, Y) of Markov processes on a metric space is called a Markov coupling if X and Y have the same transition probabilities and (X, Y) is a Markov process. We say that a coupling is "shy" if inf _{t ≥ 0} dist(X _t, Y _t) ≥ 0 with positive probability. We investigate whether shy couplings exist for several classes of Markov processes.

源语言	英语
页（从-至）	345-377
页数	33
期刊	Probability Theory and Related Fields
卷	137
期	3-4
DOI	https://doi.org/10.1007/s00440-006-0008-3
出版状态	已出版 - 3月 2007
已对外发布	是

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AU - Burdzy, Krzysztof

AU - Chen, Zhen Qing

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AB - A pair (X, Y) of Markov processes on a metric space is called a Markov coupling if X and Y have the same transition probabilities and (X, Y) is a Markov process. We say that a coupling is "shy" if inf t ≥ 0 dist(X t, Y t) ≥ 0 with positive probability. We investigate whether shy couplings exist for several classes of Markov processes.

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DO - 10.1007/s00440-006-0008-3

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JO - Probability Theory and Related Fields

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Shy couplings

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