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math.MG2012
Convex curves and a Poisson imitation of lattices
Nick Gravin, Fedor Petrov, Sinai Robins +1
We solve a randomized version of the following open question: is there a strictly convex, bounded curve γin the plane such that the number of rational points on γ, with denominator…
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…