Ergodic theorems for the frontier of branching Brownian motion

par Gabriel Flath (Oxford University)

mardi 7 juil. 2026, 09:50 → 10:50 Europe/Paris

Johnson (1R3 - 1st floor)

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.