Growth-fragmentation in Planar Brownian excursions.

schedule le lundi 09 décembre 2019 de 17h00 à 18h00

Organisé par : F. Bechtold, W. Da Silva , A. Fermanian, S. Has, Y. Yu

Intervenant : William Da Silva (LPSM)
Lieu : P6 Jussieu 16-26-209

Sujet : Growth-fragmentation in Planar Brownian excursions.

Résumé :

We consider a Brownian excursion from 0 to 1 in the upper half-plane. It possibly makes excursions above the horizontal line of height t>0. We record the size of each of these excursions, defined as the difference between its endpoint and starting point. As t evolves, this particle system exhibits a branching structure that we investigate. We recover one of the growth-fragmentations revealed by Bertoin, Budd, Curien and Kortchemski. Joint work with Elie Aïdékon.