Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 24 (2019), paper no. 71, 13 pp.
Branching processes in correlated random environment
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.
Electron. Commun. Probab., Volume 24 (2019), paper no. 71, 13 pp.
Received: 4 April 2019
Accepted: 1 October 2019
First available in Project Euclid: 12 November 2019
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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