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math.MG2012★ 6 cited
On moments of a polytope
Nick Gravin, Dmitrii V. Pasechnik, Boris Shapiro +1
We show that the multivariate generating function of appropriately normalized moments of a measure with homogeneous polynomial density supported on a compact polytope P in R^d is a…
math.MG2003★ 11 cited
The isometries of the cut, metric and hypermetric cones
Antoine Deza, Boris Goldengorin, Dmitrii V. Pasechnik
We show that the symmetry groups of the cut cone Cut(n) and the metric cone Met(n) both consist of the isometries induced by the permutations on {1,...,n}; that is, Is(Cut(n))=Is(M…