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Hypercontractivity and its applications

Authors
  • Biswal, Punyashloka
Type
Preprint
Publication Date
Jan 14, 2011
Submission Date
Jan 14, 2011
Identifiers
arXiv ID: 1101.2913
Source
arXiv
License
Unknown
External links

Abstract

Hypercontractive inequalities are a useful tool in dealing with extremal questions in the geometry of high-dimensional discrete and continuous spaces. In this survey we trace a few connections between different manifestations of hypercontractivity, and also present some relatively recent applications of these techniques in computer science.

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