Second Order Spherical Concentration

Sergey Bobkov; Gennadiy Chistyakov; Friedrich Götze

doi:10.1007/978-3-031-31149-9_10

Second Order Spherical Concentration

Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze

School of Mathematics

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Abstract

In this chapter we discuss natural conditions imposed on the functions f on the unit sphere which guarantee smaller deviations of f from their means with respect to growing dimension n in comparison with deviations that are valid for the entire class of Lipschitz functions. These conditions involve derivatives of f of the second order, which may be considered both in the spherical and Euclidean setup.

Original language	English (US)
Title of host publication	Probability Theory and Stochastic Modelling
Publisher	Springer Nature
Pages	185-206
Number of pages	22
DOIs	https://doi.org/10.1007/978-3-031-31149-9_10
State	Published - 2023

Publication series

Name	Probability Theory and Stochastic Modelling
Volume	104
ISSN (Print)	2199-3130
ISSN (Electronic)	2199-3149

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© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-031-31149-9_10

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Second Order Spherical Concentration

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