Gibbs measures for integrable dispersive PDEs

Giuseppe Genovese (University of Basel)

Tuesday 5th November 16:00-17:00 Maths 311B

Abstract

The probabilistic approach via Gibbs measures in the theory of nonlinear dispersive equations was initiated long ago by Lebowitz-Rose-Speer and Bourgain. Their programme represents a new look on PDEs, standing at the crossroads of analysis, probability and mathematical physics. I will present the general framework, with a special stress on integrable PDEs, along with some recent developments.

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