Joint BCAM-UPV/EHU Analysis and PDE seminar: Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs
Date: Thu, Jun 9 2022
Hour: 17:00
Location: BCAM Semianar room and Online
Speakers: Vedran Sohinger
LOCATION: BCAM Semianar room and Online
Abstract
Gibbs measures for nonlinear dispersive PDEs have been used as a fundamental tool in the study of low-regularity almost sure well-posedness of the associated Cauchy problem following the pioneering work of Bourgain in the 1990s. In this talk, we will discuss the connection of Gibbs measures with the Kubo-Martin-Schwinger (KMS) condition. The latter is a property characterizing equilibrium measures of the Liouville equation. In particular, we show that Gibbs measures are the unique KMS equilibrium states for a wide class of nonlinear Hamiltonian PDEs. Our proof is based on Malliavin calculus and Gross-Sobolev spaces. This is joint work with Zied Ammari.
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Link to the session:
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09
More info at https://sites.google.com/view/apdebilbao/home
Organizers:
University of Warwick
Confirmed speakers:
Vedran Sohinger
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