A short, based on the mixed volume, proof of Liggett's theorem on the convolution of ultra-logconcave sequences

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158394R. 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.4 pages; short and easyCombinatoricsStatistics TheoryA short, based on the mixed volume, proof of Liggett's theorem on the convolution of ultra-logconcave sequencestext