The survival probability of a critical branching process in a Markovian random environment

Autor:	Emile Le Page, Yinna Ye
Rok vydání:	2010
Předmět:	Stochastic process Markov process General Medicine Combinatorics symbols.namesake Survival probability Chain (algebraic topology) Random environment symbols Limit (mathematics) Markovian arrival process Statistical physics Branching process Mathematics
Zdroj:	Comptes Rendus Mathematique. 348:301-304
ISSN:	1631-073X
DOI:	10.1016/j.crma.2010.01.014
Popis:	In this Note, we first prove a local limit theorem for a semi-Markov chain and then apply it to study the asymptotic behavior of the survival probability of a critical branching process in Markovian random environment.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::39f1c85564e28bbc33cd400a83d099de https://doi.org/10.1016/j.crma.2010.01.014 Zobrazit plný text záznamu