Speaker: Pham Thi Da Cam
Time: 14h00, Wednesday, May 31, 2017 Location: 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 $1 over sqrt n$ |