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Start Over Descriptor "pointwise Weyl law" Journal proceedings of the japan academy, series a: mathematical sciences
1 results on '"pointwise Weyl law"'

1. Local universality of determinantal point processes on Riemannian manifolds.

Author

Makoto KATORI and Tomoyuki SHIRAI

Subjects
*POINT processes, *RIEMANNIAN manifolds, *BESSEL functions, *EIGENVALUES
Abstract

We consider the Laplace-Beltrami operator Δg on a smooth, compact Riemannian manifold (M,g) and the determinantal point process χλ on M associated with the spectral projection of -Δg onto the subspace corresponding to the eigenvalues up to λ². We show that the pull-back of χλ by the exponential map expp: Tp*M → M under a suitable scaling converges weakly to the universal determinantal point process on Tp*M as λ→∞. [ABSTRACT FROM AUTHOR]

Published
2022
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