| A short, based on the mixed volume, proof of Liggett's theorem on the convolution of ultra-logconcave sequences (2008) | |||||||||
Abstract | |||||||||
| 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.. Comment: 4 pages; short and easy | |||||||||
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