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Birth and death processes in randomly fluctuating environments

Published online by Cambridge University Press:  22 January 2016

Kanji Ichihara
Kanji Ichihara*
Affiliation:
Department of Mathematics, Faculty of Engineering, Kansai University, Suita-shi, Osaka 565-8680, Japan, [email protected]
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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.

Keywords

60K37
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 166 , June 2002 , pp. 93 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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[3] Liggett, T. M., Interacting particle systems, Springer-Verlag, New York, 1985.Google Scholar
[4] Madras, N., A process in a randomly fluctuating environment, Ann. Prob., 14 (1986), 119–135.Google Scholar