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中文摘要：
本文的目的是要研究Cayley树图上奇偶马氏链场的渐近均分割性．首先我们给出Cayley树图上奇偶马氏链场关于状态和状态序偶出现频率的强大数定律，然后证明其具有a．e．收敛性的渐近均分割性．
英文摘要：
In this paper, we study the asymptotic equipartition property for even-odd Markov chain fields on a Cayley tree. We first give strong law of large numbers on the frequencies of states and ordered state couples for even-odd Markov chain fields on a Cayley tree, then prove the asymptotic equipartition property for even-odd Markov chain fields on a Cayley tree with a.e. convergence.
同期刊论文项目
同项目期刊论文
Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded deg
The asymptotoc equipartition property for nonhomogeneous Markov chains indexed by a homogeneous tree
The strong law of large numbers on the frequencies of states and ordered couples of states for Marko
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