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math.SP2006
Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells
Bernard Helffer, Yuri A. Kordyukov
We show that, under some very weak assumption of effective variation for the magnetic field, a periodic Schrödinger operator with magnetic wells on a noncompact Riemannian manifold…
math.DG2006
Noncommutative spectral geometry of Riemannian foliations: some results and open problems
Yuri Kordyukov
We review some applications of noncommutative geometry to the study of transverse geometry of Riemannian foliations and discuss open problems.