快速混合

P. Winkler
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引用次数: 5

摘要

只提供摘要形式。在过去的十年中,许多可追溯性的证明都涉及到证明一些马尔可夫链“快速混合”。我们快速浏览一下马尔可夫链混合的重点,以期回答或至少解决以下问题:什么是快速混合?你要怎么证明,为什么要证明?它真的和计算复杂性有关吗?而且,最令人不安的是:在统计物理中,复杂性和快速混合与相变有关的谣言有任何事实吗?
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rapid mixing
Summary form only given. In the past decade many proofs of tractability, have involved showing that some Markov chain "mixes rapidly". We do a fast tour of the highlights of Markov chain mixing, with a view toward answering, or at least addressing, the following questions: What is rapid mixing? How do you prove it, and why would you want to? Does it really have anything to do with computational complexity? And, most disturbing: is there any truth to the rumor that complexity and rapid mixing are related to phase transitions in statistical physics?.
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