Victor Ivrii: Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings
Time: Tue 2019-02-19 14.00 - 15.00
Lecturer: Victor Ivrii, University of Toronto
Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler
Under certain assumptions we derive a complete semiclassical asymptotics of a spectral function of the constant coefficient scalar operator perturbed by almost periodic “smaller” operator.In particular, a complete semiclassical asymptotics of the integrated density of states also holds.
Under similar assumptions for periodic perturbations Bethe-Sommerfeld conjecture in semiclassical settings holds.