3 papers
math.PR2026
Almost sure path localisation for the derivative martingale of branching Brownian motion
Julien Berestycki, Berestycki Julien, Louis Chataignier +3
The evolution of the front of branching Brownian motion is determined by the limit of the derivative martingale. In this work, we characterise which particles contribute to this li…
math.PR2026
A simpler path to Ergodic Theorems for the Frontier of Branching Brownian Motion
Gabriel Flath
We revisit the ergodic theorem for the frontier of branching Brownian motion (BBM). Motivated by the proof of Arguin, Bovier, and Kistler \cite{arguin2012ergodic}, we provide a sho…
math.PR2026
The number of particles at sublinear distances from the tip in branching Brownian motion
Gabriel Flath
Consider a branching Brownian motion (BBM). It is well known \cite{Bramson1983ConvergenceOS, Lalley1987ACL} that the rightmost particle is located near \( m_t = \sqrt{2} t - \frac{…