A linear-time algorithm samples confined equilateral polygons via combinatorial sampling of a symplectic moment polytope, yielding explicit distance formulas and a curvature conjecture.
A refinement of the Eulerian numbers, and the joint distribution of๐(1)and Des(๐)in ๐๐.Ars Combinatoria, 95:445โ472, 2010 (โ15)
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Direct Sampling of Confined Polygons in Linear Time
A linear-time algorithm samples confined equilateral polygons via combinatorial sampling of a symplectic moment polytope, yielding explicit distance formulas and a curvature conjecture.