EVENT DETAILS AND ABSTRACT

Title: Yaglom's limit for critical Galton-Watson processes in varying environment: A probabilistic approach
Speaker: Natalia Cardona Tobón
Speaker Info: CIMAT / University of Bath
Brief Description:
Special Note:
Abstract:

A Galton-Watson process in varying environment is a discrete time branching process where the offspring distributions vary among generations. Based on a two-spine decomposition technique, we provide a probabilistic argument of a Yaglom-type limit for this family processes. The result states that, in the critical case, a suitable normalisation of the process conditioned on non-extinction converges in distribution to an exponential random variable. This is joint work with Dr. Sandra Palau.