## Nonembeddability theorems via Fourier analysis

by
Subhash Khot
,
Assaf Naor

Citations: | 42 - 9 self |

### BibTeX

@MISC{Khot_nonembeddabilitytheorems,

author = {Subhash Khot and Assaf Naor},

title = {Nonembeddability theorems via Fourier analysis},

year = {}

}

### Years of Citing Articles

### OpenURL

### Abstract

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) 12-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.