Metropolis动力学不同圈分解的比较
A comparison between different cycle decompositions for Metropolis dynamics
摘要：
在过去的几十年中，亚稳性的问题已经通过许多不同的方法和技术，本文简要回顾了严格的理由攻击。因此，理解不同观点之间的联系是有用的。鉴于此，我们考虑不可约的，非周期的和可逆的马尔可夫链的指数小转移概率的大都市动力学的框架。我们比较了两种不同的循环分解，并证明了它们的等价性。
英文摘要：
In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is then useful to understand connections between different point of views. In view of this we consider irreducible, aperiodic and reversible Markov chains with exponentially small transition probabilities in the framework of Metropolis dynamics. We compare two different cycle decompositions and prove their equivalence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
