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2024-10

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215622

Linear statistics of determinantal point processes and norm representations

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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.

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https://doi.org/10.1093/imrn/rnae182

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Anàlisi matemàtica, Espais de Sobolev

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Mathematical analysis, Sobolev spaces

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Articles publicats en revistes (Matemàtiques i Informàtica)

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MARZO SÁNCHEZ, Jordi, LEVI, Matteo and ORTEGA CERDÀ, Joaquim. Linear statistics of determinantal point processes and norm representations. International Mathematics Research Notices. 2024. Vol. 2024, num. 19, pags. 12869-12903. ISSN 1073-7928. [consulted: 7 of October of 2026]. Available at: https://hdl.handle.net/2445/215622

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