Second-order concentration on the sphere

Sergey G. Bobkov; Gennadiy P. Chistyakov; Friedrich Götze

doi:10.1142/S0219199716500589

Second-order concentration on the sphere

Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Sharpened forms of the concentration of measure phenomenon for classes of functions on the sphere are developed in terms of Hessians of these functions.

Original language	English (US)
Article number	1650058
Journal	Communications in Contemporary Mathematics
Volume	19
Issue number	5
DOIs	https://doi.org/10.1142/S0219199716500589
State	Published - Oct 1 2017

Bibliographical note

Funding Information:
This research was partially supported by NSF Grant DMS-1612961, the Humboldt Foundation and SFB 701 at Bielefeld University. We would like to thank Michel Ledoux for the differential geometric motivation of Proposition 4.1, and Bo'az Klartag for the careful reading of the manuscript and valuable comments.

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

Concentration of measure phenomenon
logarithmic Sobolev inequalities

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10.1142/S0219199716500589

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abstract = "Sharpened forms of the concentration of measure phenomenon for classes of functions on the sphere are developed in terms of Hessians of these functions.",

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Second-order concentration on the sphere

Abstract

Bibliographical note

Keywords

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