Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-13T09:46:36.311Z Has data issue: false hasContentIssue false
  • English
  • Français

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, kchihara@ipcku.kansai-u.ac.jp
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

[1] Ethier, S. N. and Kurtz, T. G., Markov Processes—Characterization and Convergence, John–Wiley & Sons, New York, 1986.Google Scholar
[2] Ichihara, K., Some global properties of symmetric diffusion processes, Publ. RIMS, Kyoto Univ., 14 (1978), 441–486.Google Scholar
[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