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arxiv: 1101.2913 · v1 · pith:EYBOPIUMnew · submitted 2011-01-14 · 💻 cs.DM

Hypercontractivity and its applications

classification 💻 cs.DM
keywords applicationshypercontractivitycomputerconnectionscontinuousdealingdifferentdiscrete
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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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