围绕Tsirelson的等式，或者:进化过程可能不能解释一切

IF 1.3 Q2 STATISTICS & PROBABILITY Probability Surveys Pub Date : 2009-06-18 DOI:10.1214/15-PS256

K. Yano, M. Yor

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引用次数: 15

摘要

我们综合了围绕著名的Tsirelson方程(1975)所做的一些发展，这些发展被方便地修改为在紧群$G$中取值的马尔可夫链的框架，并以负时间为索引。为了说明这一点，我们详细讨论一维环面$G=\mathbb{T}$的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Around Tsirelson's equation, or: The evolution process may not explain everything

We present a synthesis of a number of developments which have been made around the celebrated Tsirelson’s equation (1975), conveniently modified in the framework of a Markov chain taking values in a compact group $G$, and indexed by negative time. To illustrate, we discuss in detail the case of the one-dimensional torus $G=\mathbb{T}$.

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