8 octobre 2025
IHP - Bâtiment Borel
Fuseau horaire Europe/Paris

Limits of biconditioned Bienaymé-Galton-Watson trees

8 oct. 2025, 16:30
30m
Amphithéâtre Gaston Darboux (IHP - Bâtiment Borel)

Amphithéâtre Gaston Darboux

IHP - Bâtiment Borel

Orateur

Vanessa DAN (CMAP, École polytechnique)

Description

We study the limiting behavior of a Bienaymé-Galton-Watson tree conditioned to have a large number of vertices and either a fixed number of leaves or a fixed number of internal nodes. The first biconditioning gives a universal result with respect to the offspring distribution. In contrast, the second case leads to a variety of limiting behaviors, ranging from condensation phenomena to more elongated tree structures, depending on the properties of the offspring distribution.

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