Nonembeddability theorems via Fourier analysis

Subhash Khot, Assaf Naor

Research output: Contribution to journalArticle

Abstract

Various new nonembeddability results (mainly into L 1) are proved via Fourier analysis. In particular, it is shown that the Edit Distance on {0,1} d has L 1 distortion (log d)1/2-0(1). We also give new lower bounds on the L 1 distortion of flat tori, quotients of the discrete hypercube under group actions, and the transportation cost (Earthmover) metric.

Original languageEnglish (US)
Pages (from-to)821-852
Number of pages32
JournalMathematische Annalen
Volume334
Issue number4
DOIs
StatePublished - Apr 2006

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Fourier Analysis
Edit Distance
Group Action
Hypercube
Theorem
Torus
Quotient
Lower bound
Metric
Costs

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Nonembeddability theorems via Fourier analysis. / Khot, Subhash; Naor, Assaf.

In: Mathematische Annalen, Vol. 334, No. 4, 04.2006, p. 821-852.

Research output: Contribution to journalArticle

Khot, Subhash ; Naor, Assaf. / Nonembeddability theorems via Fourier analysis. In: Mathematische Annalen. 2006 ; Vol. 334, No. 4. pp. 821-852.
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