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The Construction of Denumerable q-Processes in Random Environments-The Existence and Uniqueness
Authors:Hu Dihe  Hu Xiaoyu  
Institution:[1]School of Mathematics and Statistics, Yunnan University, Kunming 650091, China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [3]Graduate School, Chinese Academy of Sciences, Beijing 100080, China
Abstract:The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary and sufficient conditions for the uniqueness of q-process in random environment are given.
Keywords:Markov process in random environment  q-matrix in random environment  q-process in random environment
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