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Linear statistics of determinantal point processes and norm representations

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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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International Mathematics Research Notices, 2024, vol. 2024, num.19, p. 12869-12903

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Linear statistics of determinantal point processes and norm representations