Hypercontractivity and its applications

Details Hypercontractivity and its applications Hypercontractivity and its applications

2011-01-14

arxiv.org/abs/1101.2913v1

Computer Science

Discrete Mathematics

Submitted for UW Quals in February 2010

Scientific paper

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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