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Yaglom's limit for critical Galton-Watson processes in varying environment: A probabilistic approach
Probability| Speaker: | Natalia Cardona-Tobón, CIMAT |
| Related Webpage: | https://sites.google.com/view/natalia-cardona-tobon/home-page?authuser=0 |
| Location: | Zoom |
| Start time: | Wed, Mar 3 2021, 4:10PM |
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 (UNAM).