A polytope related to empirical distributions, plane trees, parking functions, and the associahedron

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dc.creatorPitman, Jim
dc.creatorStanley, Richard
dc.date1999-08-06
dc.date.accessioned2026-07-07T05:30:13Z
dc.date.available2026-07-07T05:30:13Z
dc.descriptionWe define an n-dimensional polytope Pi_n(x), depending on parameters x_i>0, whose combinatorial properties are closely connected with empirical distributions, plane trees, plane partitions, parking functions, and the associahedron. In particular, we give explicit formulas for the volume of Pi_n(x) and, when the x_i's are integers, the number of integer points in Pi_n(x). We give two polyhedral decompositions of Pi_n(x), one related to order cones of posets and the other to the associahedron.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/9908029
dc.identifierhttp://arxiv.org/abs/math/9908029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78923
dc.subjectCombinatorics
dc.subject52B12; 05A15
dc.titleA polytope related to empirical distributions, plane trees, parking functions, and the associahedron
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