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Funktsional'nyi Analiz i ego Prilozheniya, 2025, Volume 59, Issue 2, Pages 11–16
DOI: https://doi.org/10.4213/faa4247 (Mi faa4247) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The speed of convergence under the Kolmogorov–Smirnov metric in the Soshnikov central limit theorem for the sine process

Alexander Bufetovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Saint Petersburg State University, Saint Petersburg, Russia
Full-text PDF (550 kB) First page Citations (3) English version article
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DOI: https://doi.org/10.4213/faa4247
Abstract: For rescaled additive functionals of the sine process, upper bounds are obtained for their speed of convergence to the Gaussian distribution with respect to the Kolmogorov–Smirnov metric. Under scaling with coefficient $R>1$, the Kolmogorov–Smirnov distance is bounded from above by $c/\log R$ for a smooth function, and by $c/R$ for a function holomorphic in a horizontal strip.
Keywords: sine process, Kolmogorov—Smirnov distance, Esseen inequality, Borodin–Okounkov–Jeronimo–Case formula, Hardy space in strip.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2024-631
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
The research was financially supported by the Ministry of Science and Higher Education of the Russian Federation in the framework of a scientific project under agreement № 075-15-2024-631.
Received: 13.08.2024
Revised: 05.12.2024
Accepted: 10.12.2024
Published: 28.05.2025
English version:
Functional Analysis and Its Applications, 2025, Volume 59, Issue 2, Pages 114–118
DOI: https://doi.org/10.1134/S1234567825020028
Bibliographic databases:
Document Type: Article
MSC: 60F05
Language: Russian
Citation: Alexander Bufetov, “The speed of convergence under the Kolmogorov–Smirnov metric in the Soshnikov central limit theorem for the sine process”, Funktsional. Anal. i Prilozhen., 59:2 (2025), 11–16; Funct. Anal. Appl., 59:2 (2025), 114–118
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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