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Extreme value theory for variable-speed branching Brownian motion

Oberseminar Darmstadt

Date: 09.02.2023

Time: 16:15–17:45 h

The order of the maximum of branching Brownian motion (BBM) differs in a logarithmic correction term from the one in corresponding independent setting. In this talk we zoom into this transition. We study "variable speed branching Brownian motions" where the "speed functions", that describe the  time-inhomogeneous variance, approach the one of BBM from below. We show that the logarithmic correction only depends on the initial and final diffusion parameters. We will see that the key to the above result is a precise understanding of the entropic repulsion experienced by an extremal particle.
Based on joint work in progress with Lisa Hartung.


Alexander Alban, Johannes Gutenberg-Universität Mainz


TU Darmstadt S2|15 Raum 401
Schlossgartenstr. 7, 64289 Darmstadt


Technische Universität Darmstadt

Fachbereich Mathematik - Stochastik
Schlossgartenstraße 7
64289 Darmstadt
Telefon: +49 6151 16-23380
Telefax: +49 6151 16-23381

Organizing partners

Goethe-Universität Frankfurt am Main, Johannes Gutenberg-Universität Mainz

For this event, no registration is necessary. PDF- Link