Talk

Locality properties of standard homogenization commutator

  • Georgiana Chatzigeorgiou (MPI MiS, Leipzig)
E1 05 (Leibniz-Saal)

Abstract

We focus on the theory of fluctuations in stochastic homogenization for linear uniformly elliptic PDEs in divergence form. More precisely, we study the properties of the so-called standard homogenization commutator, a random field which plays a crucial role in this theory. Main tool in our approach is a covariance estimate -- a consequence of the Hellfer-Sjöstrand representation formula for covariances which holds in the Gaussian setting we adopt.

Upcoming Events of this Seminar

  • Montag, 14.07.25 tba with Alexandra Holzinger
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