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math.DG2010
Adiabatic limits and noncommutative Weyl formula
Yuri A. Kordyukov
We discuss asymptotic behavior of the eigenvalue distribution of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown…
math.NT2010
Integer points in domains and adiabatic limits
Yuri A. Kordyukov, Andrey A. Yakovlev
We prove an asymptotic formula for the number of integer points in a family of bounded domains in the Euclidean space with smooth boundary, which remain unchanged along some linear…