%0 Journal Article
%T A short, based on the mixed volume, proof of Liggett's theorem on the convolution of ultra-logconcave sequences
%A Leonid Gurvits
%J Mathematics
%D 2008
%I arXiv
%X R. Pemantle conjectured, and T.M. Liggett proved in 1997, that the convolution of two ultra-logconcave is ultra-logconcave. Liggett's proof is elementary but long. We present here a short proof, based on the mixed volume of convex sets.
%U http://arxiv.org/abs/0804.1181v1