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Matematicheskie Zametki, 2024, Volume 116, Issue 6, Pages 916–922
DOI: https://doi.org/10.4213/mzm14514 (Mi mzm14514) 		 
A geometric approach to lower bounds for the maximum of Gaussian random processes

B. S. Kashinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm14514
Abstract: The paper proposes an approach to lower bounds for the expectation of the maximum of a Gaussian process based on classical results from the geometry of convex bodies.
Keywords: Gaussian process, diameter, Urysohn inequality.
Funding agency Grant number
Russian Science Foundation 24-11-00114
This work was financially supported by the Russian Science Foundation, project no. 24-11-00114, https://rscf.ru/en/project/24-11-00114/, at Lomonosov Moscow State University.
Received: 08.08.2024
Published: 06.12.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 6, Pages 1306–1311
DOI: https://doi.org/10.1134/S0001434624110361
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: B. S. Kashin, “A geometric approach to lower bounds for the maximum of Gaussian random processes”, Mat. Zametki, 116:6 (2024), 916–922; Math. Notes, 116:6 (2024), 1306–1311
Citation in format AMSBIB
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\by B.~S.~Kashin
\paper A geometric approach to lower bounds for the maximum of Gaussian random processes
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 6
\pages 916--922
\mathnet{http://mi.mathnet.ru/mzm14514}
\crossref{https://doi.org/10.4213/mzm14514}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 6
\pages 1306--1311
\crossref{https://doi.org/10.1134/S0001434624110361}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85218192494}
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