Prefer a chat interface with context about you and your work?
On moments of a polytope
We show that the multivariate generating function of appropriately normalized moments of a measure with homogeneous polynomial density supported on a compact polytope $$\mathcal {P}\subset \mathbb {R}^d$$ is a rational function. Its denominator is the product of linear forms dual to the vertices of $$\mathcal {P}$$ raised to the power …