Topics

About this talk

Title: Fluctuations for fully pushed stochastic frontsAbstract: 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 types of travelling waves – pushed, semi-pushed, and pulled – which exhibit different behaviours under noisy perturbation. I will discuss a recent work examining the behaviour 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 position of the front from its "deterministic" position, in a certain scaling regime, as a Brownian motion with drift.  This is joint work with Alison Etheridge, Raphaël Forien and Sarah Penington.

→ More information & booking (opens in new tab)