Fine properties of random fields: from fluids to QFT
Apparaît également dans la collection : New trends of stochastic nonlinear systems: well-posedeness, dynamics and numerics / Nouvelles tendances en analyse non linéaire stochastique: caractère bien posé, dynamique et aspects numériques
We discuss various regularity properties for invariant measures of (possibly singular) SPDEs. In particular, we resolve an old question regarding the equivalence of the invariant measure for the stochastic 2D Navier-Stokes equations and a Gaussian measure.