On Convergence Rate Estimates for Some Birth and Death Processes
- Авторы: Zeifman A.I.1,2,3, Panfilova T.L.1
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Учреждения:
- Vologda State University
- Institute of Informatics Problems of FRC IC RAS
- Institute of Socio-Economic Development of Territories of the RAS
- Выпуск: Том 221, № 4 (2017)
- Страницы: 616-622
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239064
- DOI: https://doi.org/10.1007/s10958-017-3254-2
- ID: 239064
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Аннотация
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.
Об авторах
A. Zeifman
Vologda State University; Institute of Informatics Problems of FRC IC RAS; Institute of Socio-Economic Development of Territories of the RAS
Автор, ответственный за переписку.
Email: a_zeifman@mail.ru3
Россия, Vologda; Moscow; Vologda
T. Panfilova
Vologda State University
Email: a_zeifman@mail.ru3
Россия, Vologda
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