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In this mini-workshop we brought together leading experts working on the application of Gibbs measures to the study of nonlinear PDEs. This framework is a powerful tool in the probabilistic study of solutions to nonlinear dispersive PDEs, in many ways alternative or complementary to deterministic methods. Among the special topics discussed were the construction of the measures, applications to dynamics, as well as the microscopic derivation of Gibbs measures from many-body quantum mechanics.
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Giuseppe Genovese, Benjamin Schlein, Vedran Sohinger, Mini-Workshop: Gibbs Measures for Nonlinear Dispersive Equations. Oberwolfach Rep. 15 (2018), no. 2, pp. 1081–1116DOI 10.4171/OWR/2018/18