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

Emile Le Page; Yinna Ye

doi:10.1016/j.crma.2010.01.014

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

Emile Le Page^*, Yinna Ye

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	301-304
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	348
Issue number	5-6
DOIs	https://doi.org/10.1016/j.crma.2010.01.014
Publication status	Published - Mar 2010
Externally published	Yes

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Le Page, E., & Ye, Y. (2010). The survival probability of a critical branching process in a Markovian random environment. Comptes Rendus Mathematique, 348(5-6), 301-304. https://doi.org/10.1016/j.crma.2010.01.014

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title = "The survival probability of a critical branching process in a Markovian random environment",

abstract = "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.",

author = "{Le Page}, Emile and Yinna Ye",

year = "2010",

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AU - Ye, Yinna

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AB - 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.

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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

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