## Electronic Communications in Probability

### Branching processes in correlated random environment

#### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 24 (2019), paper no. 71, 13 pp.

Dates
Accepted: 1 October 2019
First available in Project Euclid: 12 November 2019

https://projecteuclid.org/euclid.ecp/1573528176

Digital Object Identifier
doi:10.1214/19-ECP268

#### Citation

Chen, Xinxin; Guillotin-Plantard, Nadine. Branching processes in correlated random environment. Electron. Commun. Probab. 24 (2019), paper no. 71, 13 pp. doi:10.1214/19-ECP268. https://projecteuclid.org/euclid.ecp/1573528176

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