Nonembeddability theorems via Fourier analysis

Various new nonembeddability results (mainly into L1) are proved via Fourier analysis. In particular, it is shown that the Edit Distance on {0, 1}d has L1 distortion (log d) 1 2 −o(1) . We also give new lower bounds on the L1 distortion of flat tori, quotients of the discrete hypercube under group actions, and the transportation cost (Earthmover) metric.

• Type: Conference
• Year: 2005
• Where: FOCS
• Authors: Subhash Khot, Assaf Naor
• Keywords: Distortion, Edit Distance, FOCS 2005, Fourier Analysis, Theoretical Computer Science