离散平稳马尔柯夫过程概率转移矩阵本征矢的完备性 |
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摘 要: | <正> L.E.Reichl著的《A Midern Course in Stiatstical Physics》,系统地介绍了热力学和统计物理学的基本理论和近代的最新成果,诺贝尔奖金获得者I. Prigogine热倩地推荐了它,此书已逐渐在我国大学和研究生班中使用。著作中关于离散平稳马尔柯夫过程概率转移矩阵本征矢量完备性的论述不够完整严密,本文对此作了分析。一、转移矩阵的本征矢完备性 1.定义与符号
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The Eigenvector Completeness of Transition Probability Matrix in Discrete Homogeneous Markov Process |
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Abstract: | This paper a n alyses the i n accuracy of the definioio n of eigenvector of transition probability matrix in discreste homcgneous Markov process, given in L. E. Reichl's book "A Modern Course in Statitical Physics", and gives a proof of The completeness of The etgenvector. |
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