Theoretical Statistics and Mathematics Unit, ISI Delhi
We study the asymptotic speed of a random front for solutions to stochastic reaction-diffusion equations with multiplicative noise proportional to $\sigma$. We show existence of the speed of the front and derive its asymptotics as $\sigma$ goes to infinity. This also gives us information on the speed of propagation of the branching-coalescent system of Brownian motions with high rate of coalescence.
This is a joint work with C. Mueller and L. Ryzhik.