27 citations · 202 across the 64 of their papers we have counts for
69 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 un…
Some results on semiclassical spectral analysis of magnetic Schrödinger operators
Yuri A. Kordyukov
In our recent papers, we studied semiclassical spectral problems for the Bochner-Schrödinger operator on a manifold of bounded geometry. We survey some results of these papers in t…
Semiclassical trace formula for the Bochner-Schrödinger operator
Yuri A. Kordyukov
We study the semiclassical Bochner-Schrödinger operator on tensor powers of a Hermitian line bundle twisted by a Hermitian vector…
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 magneti…