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Hypercontractivity and its applications

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Type
Preprint
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Submission Date
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arXiv ID: 1101.2913
Source
arXiv
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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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