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A bound on the averaged spectral shift function and a lower bound on the density of states for random Schrödinger operators on R^d

Mathematical Physics & Probability

Speaker: Martin Gebert, King's College London
Location: 2112 MSB
Start time: Fri, Apr 27 2018, 12:10PM

We prove a locally uniform lower bound on the density of states of continuum random Schrödinger operators in the localised regime. The main technical ingredient is a new bound on the expectation of the spectral shift function for random Schrödinger operators in the localised regime, corresponding to a change from Dirichlet to Neumann boundary conditions along the boundary of a finite volume. The bound scales with the surface area. (Joint with Adrian Dietlein, Abel Klein, Peter Hislop, Peter Müller)



co-listed as a QMAP seminar