Fluctuations for fully pushed stochastic fronts

par Thomas Hughes (Univeristy of Bath)

mardi 17 mars 2026, 09:50 → 10:50 Europe/Paris

Amphi Schwartz

This talk concerns travelling wave solutions to stochastic reaction diffusion equations, such as those arising in population genetics to model the genetic composition of an evolving spatial population. Different reaction terms are expected to correspond to three varieties of travelling waves, pushed, semi-pushed, and pulled, which exhibit different behaviours under noisy perturbation. I will discuss a work in progress which characterizes the perturbation of the front in the (fully) pushed regime, which includes both bi-stable and mono-stable reactions. Our main result precisely characterizes the limiting deviation of the front from its "deterministic" position, in a certain scaling regime, as a Brownian motion with drift.