Linear statistics of determinantal point processes and norm representations

dc.contributor.author
Marzo Sánchez, Jordi
dc.contributor.author
Levi, Matteo
dc.contributor.author
Ortega Cerdà, Joaquim
dc.date.issued
2024-10-09T08:35:24Z
dc.date.issued
2025-10-01T05:10:14Z
dc.date.issued
2024-10
dc.date.issued
2024-10-09T08:35:24Z
dc.identifier
1073-7928
dc.identifier
https://hdl.handle.net/2445/215622
dc.identifier
733650
dc.description.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.
dc.format
35 p.
dc.format
application/pdf
dc.format
application/pdf
dc.language
eng
dc.publisher
Oxford University Press
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1093/imrn/rnae182
dc.relation
International Mathematics Research Notices, 2024, vol. 2024, num.19, p. 12869-12903
dc.relation
https://doi.org/10.1093/imrn/rnae182
dc.rights
(c) Marzo J. et al., 2024
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Anàlisi matemàtica
dc.subject
Espais de Sobolev
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Mathematical analysis
dc.subject
Sobolev spaces
dc.title
Linear statistics of determinantal point processes and norm representations
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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