16 citations · 61 across the 7 of their papers we have counts for
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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
Adrian Dietlein, Martin Gebert, Peter D. Hislop +2
We obtain a bound on the expectation of the spectral shift function for alloy-type random Schrödinger operators on in the region of localisation, corresponding to a…
Ergodicity and dynamical localization for Delone-Anderson operators
François Germinet, Peter Müller, Constanza Rojas-Molina
We study the ergodic properties of Delone-Anderson operators, using the framework of randomly coloured Delone sets and Delone dynamical systems. In particular, we show the existenc…
Localization for random block operators
Martin Gebert, Peter Müller
We continue the investigations of Kirsch, Metzger and the second-named author [J. Stat. Phys. 143, 1035--1054 (2011)] on spectral properties of a certain type of random block opera…
Lifshits tails in the hierarchical Anderson model
Simon Kuttruf, Peter Müller
We prove that the homogeneous hierarchical Anderson model exhibits a Lifshits tail at the upper edge of its spectrum. The Lifshits exponent is given in terms of the spectral dimens…
Random Block Operators
Werner Kirsch, Bernd Metzger, Peter Müller
We study fundamental spectral properties of random block operators that are common in the physical modelling of mesoscopic disordered systems such as dirty superconductors. Our res…
Uniform convergence of spectral shift functions
Peter D. Hislop, Peter Müller
The spectral shift function ξ_{L}(E) for a Schrödinger operator restricted to a finite cube of length L in multi-dimensional Euclidean space, with Dirichlet boundary conditions, co…
The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains
Peter D. Hislop, Peter Müller
We study the asymptotic behavior as L \to \infty of the finite-volume spectral shift function for a positive, compactly-supported perturbation of a Schrödinger operator in d-dimens…