Abstract for the talk on 16.08.2018 (16:45 h)


Marius Lemm (Havard University)
On the averaged Green's function of an elliptic equation with random coefficients
Attention: this talk has to be cancelled
16.08.2018, 16:45 h, MPI für Mathematik in den Naturwissenschaften Leipzig, A3 01 (Sophus-Lie-SR)

We consider a divergence-form elliptic difference operator on the lattice d, with a coefficient matrix that is an i.i.d. perturbation of the identity matrix. Recently, Bourgain introduced novel techniques from harmonic analysis to prove the convergence of the Feshbach-Schur perturbation series related to the averaged Green’s function of this model. Our main contribution is a refinement of Bourgain’s approach which improves the key decay rate from 2d +


14.08.2018, 06:48