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## Kevei Péter: Subcritical Galton-Watson branching processes with immigration in random environment and random fixed point equations

 Szerda, 14. November 2018, 14:00 - 16:00
Abstract: We investigate the tail behavior of the stationary distribution of subcritical Galton-Watson branching processes with immigration in random environment. We show that, contrary to the deterministic environment setup, the stationary distribution has typically Pareto-like tail, even with light-tailed immigration and offspring distribution. Since the stationary distribution is a solution to a random fixed point equation, Goldie's implicit renewal theory can be applied.
Hely : Szeged, Aradi vértanúk tere 1., Riesz terem.