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math.PR2022★ 2 cited
Local universality of determinantal point processes on Riemannian manifolds
Makoto Katori, Tomoyuki Shirai
We consider the Laplace-Beltrami operator on a smooth, compact Riemannian manifold and the determinantal point process on associated with the spec…
math.PR2022★ 3 cited
Scaling limit for determinantal point processes on spheres
Makoto Katori, Tomoyuki Shirai
The unitary group with the Haar probability measure is called Circular Unitary Ensemble. All the eigenvalues lie on the unit circle in the complex plane and they can be regarded as…