{"title":"The Asymptotic Equipartition Property for Homogeneous Markov Chains Indexed by Trees","authors":"Weicai Peng","doi":"10.1109/BCGIN.2011.96","DOIUrl":null,"url":null,"abstract":"In this paper, the tree model is different from the known models. We prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite homogeneous Markov chains indexed by this tree. The results generalize some known results.","PeriodicalId":127523,"journal":{"name":"2011 International Conference on Business Computing and Global Informatization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Business Computing and Global Informatization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/BCGIN.2011.96","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, the tree model is different from the known models. We prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite homogeneous Markov chains indexed by this tree. The results generalize some known results.
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