On Convergence Rate Estimates for Some Birth and Death Processes
- Autores: Zeifman A.I.1,2,3, Panfilova T.L.1
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Afiliações:
- Vologda State University
- Institute of Informatics Problems of FRC IC RAS
- Institute of Socio-Economic Development of Territories of the RAS
- Edição: Volume 221, Nº 4 (2017)
- Páginas: 616-622
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239064
- DOI: https://doi.org/10.1007/s10958-017-3254-2
- ID: 239064
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Resumo
Homogeneous birth and death processes with a finite number of states are studied. We analyze the slowest and fastest rates of convergence to the limit mode. Estimates of these bounds for some classes of mean-field models are obtained. The asymptotics of the convergence rate for some models of chemical kinetics is studied in the case where the number of system states tends to infinity.
Sobre autores
A. Zeifman
Vologda State University; Institute of Informatics Problems of FRC IC RAS; Institute of Socio-Economic Development of Territories of the RAS
Autor responsável pela correspondência
Email: a_zeifman@mail.ru3
Rússia, Vologda; Moscow; Vologda
T. Panfilova
Vologda State University
Email: a_zeifman@mail.ru3
Rússia, Vologda
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