Speaker: Sandra Palau, University of Bath
Date: Monday 19th February 2018, 12 noon, The Mathematical Institute, Andrew Wiles Building, L5
Title: Extinction properties and asymptotic behaviour of multi-type continuous state branching processes
Abstract: In this talk we are going to study multi-type continuous state branching processes. Under mild conditions, we will see that there exists a lead eigenvalue associated with the first-moment semigroup. The sign of this eigenvalue distinguishes between the cases where there is extinction and exponential growth. In the supercritical case, we will give the a.s. rate of growth and the convergence proportion of each type.