The survival probability of a critical multi-type branching process in i.i.d. random environment
Speaker: Pham Thi Da Cam

Time: 14h00, Wednesday, May 31, 2017
Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: Conditioned on the generating functions of offspring distribution, we study the asymptotic behaviour of the probability of non-extinction of a critical multi-type Galton-Watson process in i.i.d. random environments by using limits theorems for products of positive random matrices. Under some certain assumptions, the survival probability is proportional to $1 over sqrt n$

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