Ergodic theorems for the frontier of branching Brownian motion

par Gabriel Flath

lundi 29 juin 2026, 16:30 → 17:30 Europe/Paris

S435 (UMPA)

We present a short argument for the ergodic theorem of the frontier of branching Brownian motion (BBM). Our approach relies on two main observations: pairs of extremal particles observed at well-separated times must have branched early, and pairs of early-branching extremal particles have negatively correlated positions. We will show how this yields the ergodic theorem for BBM and extends it to a broad class of functionals.