Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators
Seminar Room 1, Newton Institute
AbstractI am going to present a recent result in which a high-energy asymptotic expansion of the integrated density of states is obtained for a wide class of multidimensional almost-periodic pesudo-differential operators. Important particular applications are magnetic Schroedinger operators and operators with relativistic kinetic energies, for which the existence of such asymptotics was not known even in the periodic setting. The talk is based on a joint work with Leonid Parnovski (University College London) and Roman Shterenberg (University of Alabama in Birmingham).
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