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Mat. Zametki, 2024 Volume 116, Issue 6, Pages 916–922 (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

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.

UDC: 519.2

Received: 08.08.2024

DOI: 10.4213/mzm14514


 English version: Mathematical Notes, 2024, 116:6, 1306–1311

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© Steklov Math. Inst. of RAS, 2025