Matteo Levi, Jordi Marzo, Joaquim Ortega-CerdÃ
Published 2023-11-06Version 1
We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool is the generalization of some norm representation results for functions in Sobolev spaces and in the space of functions of bounded variation.
Riesz Energy, $L^2$ Discrepancy, and Optimal Transport of Determinantal Point Processes on the Sphere and the Flat Torus
Equivalent symmetric kernels of determinantal point processes
Singular Integrals associated with Reflection Groups on Euclidean Space
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