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SUMMARY:On the infinite dimension limit of invariant measures and solution
 s of Zeitlin's 2D Euler equations - Milo Viviani (Scuola Normale Superiore
  di Pisa)
DTSTART:20220831T110000Z
DTEND:20220831T112000Z
UID:TALK177695@talks.cam.ac.uk
DESCRIPTION:In this talk we consider a finite dimensional approximation fo
 r the 2D Euler equations on the sphere\, proposed by V. Zeitlin\, and show
  their convergence towards a solution of the Euler equations with marginal
 s distributed as the enstrophy measure. The method relies on nontrivial co
 mputations on the structure constants of the Poisson algebra of functions 
 on $\\mathbb{S}^2$\, that appear to be new. Finally\, we discuss the probl
 em of extending our results to Gibbsian measures associated with higher Ca
 simirs\, via Zeitlin&rsquo\;s model.\nCo-Authors: Franco Flandoli and Umbe
 rto Pappalettera
LOCATION:No Room Required
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