Open Access
2019 Branching processes in correlated random environment
Xinxin Chen, Nadine Guillotin-Plantard
Electron. Commun. Probab. 24: 1-13 (2019). DOI: 10.1214/19-ECP268

Abstract

We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the $n$-th generation. Moreover, when the environment is given by fractional Brownian motion, we estimate also the tail of progeny as well as the tail of width.

Citation

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Xinxin Chen. Nadine Guillotin-Plantard. "Branching processes in correlated random environment." Electron. Commun. Probab. 24 1 - 13, 2019. https://doi.org/10.1214/19-ECP268

Information

Received: 4 April 2019; Accepted: 1 October 2019; Published: 2019
First available in Project Euclid: 12 November 2019

zbMATH: 07142642
MathSciNet: MR4040938
Digital Object Identifier: 10.1214/19-ECP268

Subjects:
Primary: 60G22 , 60J80 , 60K37

Keywords: branching process , positive association , Random walk

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