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可逆马尔可夫链的转移概率估计
引用本文:王美岚. 可逆马尔可夫链的转移概率估计[J]. 中国石油大学学报(自然科学版), 2003, 27(5)
作者姓名:王美岚
作者单位:烟台师范学院学报编辑部,山东烟台,264025
摘    要:对可逆马尔可夫链的转移概率进行了估计 ,给出了其条件为马尔可夫链的格林函数的空间对称性和多项式衰减规律 ,解决了早期研究中当分形不能用一个简单运算重正化 ,或者分形是无穷分叉时的难题。

关 键 词:转移概率  马尔可夫链  随机游动  格林函数

Estimation of transition probability for reversible Markov chains
WANG Mei-lan. Yantai Normal University,Yantai. Estimation of transition probability for reversible Markov chains[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 2003, 27(5)
Authors:WANG Mei-lan. Yantai Normal University  Yantai
Affiliation:WANG Mei-lan. Yantai Normal University,Yantai 264025
Abstract:The transition probability of transient reversible Markov chain was estimated, and the delay rules of spatial symmetry and polynomial decay of the Green's function were given, taking the reversible Markov chain as a key condition. In the former study, the fractal couldn't be renormalized with a simple operation. Above infimitely ramified difficulties were solved with the transition probability estimation.
Keywords:transition probability  Markov chain  random walk  Green's function
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