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SUMMARY:Bjoern Bringmann (UCLA)
DTSTART:20210510T210000Z
DTEND:20210510T220000Z
DTSTAMP:20260423T005650Z
UID:OARS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/25/">In
 variant Gibbs measures for the three-dimensional wave equation with a Hart
 ree nonlinearity</a>\nby Bjoern Bringmann (UCLA) as part of OARS Online An
 alysis Research Seminar\n\n\nAbstract\nIn this talk\, we discuss the const
 ruction and invariance of the Gibbs measure for a three-dimensional wave e
 quation with a Hartree-nonlinearity.\n\nIn the first part of the talk\, we
  construct the Gibbs measure and examine its properties. We discuss the mu
 tual singularity of the Gibbs measure and the so-called Gaussian free fiel
 d. In contrast\, the Gibbs measure for one or two-dimensional wave equatio
 ns is absolutely continuous with respect to the Gaussian free field.\n\nIn
  the second part of the talk\, we discuss the probabilistic well-posedness
  of the corresponding nonlinear wave equation\, which is needed in the pro
 of of invariance. At the moment\, this is the only theorem proving the inv
 ariance of any singular Gibbs measure under a dispersive equation.\n
LOCATION:https://researchseminars.org/talk/OARS/25/
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