3-5 August 2022
Universität Klagenfurt
Europe/Vienna timezone

The maximum of branching Brownian motion

5 Aug 2022, 11:00
HS 3 ( Universität Klagenfurt)

HS 3

Universität Klagenfurt

Talk Stochastics Session A7 Stochastics


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.

Primary author

Alexander Alban (Gutenberg University Mainz)

Presentation Materials

There are no materials yet.