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Elliptic stochastic quantisation

Presented by: 
Massimiliano Gubinelli
Monday 17th December 2018 - 11:00 to 12:30
INI Seminar Room 2
I will describe the relation between elliptic SPDEs and Gibbs measures given by the dimensional reduction mechanism discovered by Parisi and Sourlas in ’79. In collaboration with S. Albeverio and F. C. De Vecchi we recently gave a rigorous proof of this relation in some particular (low dimensional) case. The proof goes via a supersymmetric representation of the law of the SPDE.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons