Work

Linear Statistics of Determinantal Point Processes and Norm Representations

Year: 2024

Type: article

Abstract: 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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae182

Authors: Matteo Levi, Jordi Marzo, Joaquim Ortega-Cerdà

Institutions: Universitat Autònoma de Barcelona, Universitat de Barcelona, Centre de Recerca Matemàtica

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4402289282

FWCI: 0.661

Cites: 47

Cited by: 2

Related to: 10