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The many faces of the Fisher-KPP equation Bernard Derrida

Sunday, April 22, 2018 - 11:15 to 12:30 Auditorium

The Fisher KPP equation describes the growth of a stable region into an unstable medium. It was introduced in 1937 both by the biologist and statistician Fisherand by the mathematicians Kolmogorov, Petrovsky, Piscounov to describe the propagation of a favorable gene in a population. It is one of the classical examples of the problem of velocity selection. It also appears in many other contexts, ranging from the theory of disordered systems and spin glasses to reaction diffusion problems, branching Brownian motion and models of evolution with selection. This talk will try to review the main classical results on this equation as well as some recent progress.