13 papers
Monte Carlo methods on compact symplectic manifolds
Yuri A. Kordyukov
We build an unbiased Monte Carlo estimator of the integral of any function on a prequantized compact symplectic manifold against a smooth Riemannian volume form, taking for q…
Determinantal point processes associated with the Bochner-Schrödinger operator
Yuri A. Kordyukov
We consider the Bochner-Schrödinger operator on tensor powers of a Hermitian line bundle on a Riemannian manifold of bounded geometry under…
Eigenvalue distribution in gaps of the essential spectrum of the Bochner-Schrödinger operator
Yuri A. Kordyukov
The Bochner-Schrödinger operator on high tensor powers of a Hermitian line bundle on a Riemannian manifold of bounded geometry is studied…
A vanishing theorem in -theory for spectral projections of a non-periodic magnetic Schrödinger operator
Yuri A. Kordyukov, Vladimir M. Manuilov
We consider the Schrödinger operator on a Riemannian manifold of bounded geometry, where is a coupling parameter, the mag…
On topological obstructions to the existence of non-periodic Wannier bases
Yu. Kordyukov, V. Manuilov
Recently, M. Ludewig and G. C. Thiang introduced a notion of a uniformly localized Wannier basis with localization centers in an arbitrary uniformly discrete subset in a comple…
Adiabatic limits and spectral sequences for Riemannian foliations
Jesus A. Alvarez Lopez, Yuri A. Kordyukov
For general Riemannian foliations, spectral asymptotics of the Laplacian is studied when the metric on the ambient manifold is blown up in directions normal to the leaves (adiabati…