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VERSION:2.0
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CALSCALE:GREGORIAN
X-WR-CALNAME:MIT PDE/Analysis Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260513T033830Z
UID:tag:localist.com\,2008:EventInstance_45315786896971
DTSTART:20240312T200000Z
DTEND:20240312T213000Z
DESCRIPTION:Speaker:  Yu Deng (University of Southern California)\n\nTitle:
   Gibbs measure dynamics in nonlinear dispersive equations\n\nAbstract: Th
 e Φ4 \, and generally Φp . measures\, which are extensively studied in q
 uantum field theory\, also occur naturally as invariant Gibbs measures for
  certain (dispersive) Hamiltonian PDEs and parabolic SPDEs. A fundamental 
 question is to rigorously justify the invariance of such measures under sa
 id dynamics\, which leads to deep questions in the solution theory of rand
 om data and stochastic PDEs. In this talk we review some recent progress i
 n the dispersive setting\, including the proof of invariance of Φ$_2^p$ u
 nder Schrodinger dynamics and of Φ$_3^4$  under wave dynamics. In the Sch
 rodinger case\, we also obtain local well-posedness results in the full pr
 obabilistically subcritical regime. These are joint works with Bjoern Brin
 gmann\, Andrea R. Nahmod and Haitian Yue.
GEO:42.358825;-71.090029
LOCATION:MIT\, 2-136
SUMMARY:MIT PDE/Analysis Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/mit_pdeanalysis_seminar_3699
CATEGORIES:Conferences/Seminars/Lectures
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