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Birth and death processes in randomly fluctuating environments
Published online by Cambridge University Press: 22 January 2016
Abstract
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A birth and death process in a time-dependent random environment is introduced. We will discuss the recurrence and transience properties for the process.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2002
References
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Ethier, S. N. and Kurtz, T. G., Markov Processes—Characterization and Convergence, John–Wiley & Sons, New York, 1986.Google Scholar
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Ichihara, K., Some global properties of symmetric diffusion processes, Publ. RIMS, Kyoto Univ., 14 (1978), 441–486.Google Scholar
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Madras, N., A process in a randomly fluctuating environment, Ann. Prob., 14 (1986), 119–135.Google Scholar
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