English

Hypercontractivity and its applications

Discrete Mathematics 2011-01-18 v1

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.

Keywords

Cite

@article{arxiv.1101.2913,
  title  = {Hypercontractivity and its applications},
  author = {Punyashloka Biswal},
  journal= {arXiv preprint arXiv:1101.2913},
  year   = {2011}
}

Comments

Submitted for UW Quals in February 2010

R2 v1 2026-06-21T17:12:24.611Z