3 papers
math.PR2026
Almost sure path localisation for the derivative martingale of branching Brownian motion
Julien Berestycki, Louis Chataignier, Gabriel Flath
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
Upper moderate deviation probabilities for the maximum of a branching random walk
Louis Chataignier, Lianghui Luo
Consider the maximal position at generation of a supercritical branching random walk. Aïdékon (2013) obtained and described the convergence in law, as time goes to in…
math.PR2025
Upper moderate deviation probabilities for the maximum of branching Brownian motion
Louis Chataignier
It is known from Bramson (1983) that the maximum of branching Brownian motion at time is asymptotically around an explicit function , which involves a first ballistic orde…