Branching processes in correlated random environment

Xinxin Chen (1) , Nadine Guillotin-Plantard (2)

1 PSPM - Probabilités, statistique, physique mathématique
2 ICJ - Institut Camille Jordan

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.

Domaines: Probabilités [math.PR]

Xinxin Chen, Nadine Guillotin-Plantard. Branching processes in correlated random environment. Electronic Communications in Probability, 2019, ⟨10.1214/19-ECP268⟩. ⟨hal-02079948⟩