MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

Vladimir Vatutin; Vitali Wachtel

doi:10.1017/apr.2018.86

MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

Vladimir Vatutin, Vitali Wachtel

Лаборатория прикладной вероятности ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

4 Цитирования (Scopus)

Аннотация

We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.

Язык оригинала	английский
Страницы (с-по)	281-289
Число страниц	9
Журнал	Advances in Applied Probability
Том	50
Номер выпуска	A
DOI	https://doi.org/10.1017/apr.2018.86
Состояние	Опубликовано - 1 дек. 2018

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10.1017/apr.2018.86

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MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

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