27 citations · 202 across the 64 of their papers we have counts for
3 papers · 1 filter
On a problem of geometry of numbers arising in spectral theory
Yuri A. Kordyukov, Andrey A. Yakovlev
We study a lattice point counting problem for a class of families of domains in a Euclidean space. This class consists of anisotropically expanding bounded domains, which remain un…
Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
Yuri Kordyukov, Mehdi Lejmi, Patrick Weber
We define Seiberg-Witten equations on closed manifolds endowed with a Riemannian foliation of codimension 4. When the foliation is taut, we show compactness of the moduli space und…
Magnetic Wells in Dimension Three
Bernard Helffer, Yuri Kordyukov, Nicolas Raymond +1
This paper deals with semiclassical asymptotics of the three-dimensional magnetic Laplacian in presence of magnetic confinement. Using generic assumptions on the geometry of the co…