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Péter Kevei: Nearly critical Galton-Watson processes

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Wednesday, 30. November 2022, 14:00 - 16:00
Abstract: We investigate Galton-Watson processes in varying environment, for which the offspring mean tends to 1 from below. Since the process dies out almost surely, to obtain nontrivial limit we consider two scenarios: conditioning on non-extinction, or adding immigration. In both cases we show that the process converges in distribution without normalization to a nondegenerate compound-Poisson limit law. The proofs rely on the shape function technique, worked out by Kersting (2020). This is joint work with Kata Kubatovics.
Location : Riesz lecture room.

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