Asymptotic Equipartition Property for Even-Odd Markov
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Abstract
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.
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