Linear statistics of determinantal point processes and norm representations

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.

Publication Details

Journal
Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona)
Published
2024-10-01
Primary Topic
Hyperglycemia and glycemic control in critically ill and hospitalized patients
Type
article
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article

Linear statistics of determinantal point processes and norm representations

Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona)
Hyperglycemia and glycemic control in critically ill and hospitalized patients
article

Linear statistics of determinantal point processes and norm representations

article en

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.

Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona)
Reduced inequalities
Openalex Percentile: Top 43%
Hyperglycemia and glycemic control in critically ill and hospitalized patients
OpenAlex
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Linear statistics of determinantal point processes and norm representations · Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) (2024) | TGRS Research Map | TGRS