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Non-ergodicity criteria for denumerable continuous time Markov processes
Authors:Bong Dae Choi
Affiliation:Department of Mathematics, Telecommunication Mathematics Research Center, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul 136-701, Republic of Korea
Abstract:
We provide non-ergodicity criteria for denumerable continuous time Markov processes in terms of test functions. Two examples are given where the non-ergodicity criteria are applied.
Keywords:Non-ergodicity   Ergodicity   Test function   Markov process   Queueing theory
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