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5 papers · 2 filters
Lattice and Schroder paths with periodic boundaries
Joseph P. S. Kung, Anna de Mier, Xinyu Sun +1
We consider paths in the plane with and -steps that start at the origin, end at height and stay to the left of a given non-decreasing right boundary.…
A Littlewood-Richardson rule for Grassmannian Permutations
Kevin Purbhoo, Frank Sottile
We give a combinatorial rule for computing intersection numbers on a flag manifold which come from products of Schubert classes pulled back from Grassmannian projections. This rule…
Free Meixner states
Michael Anshelevich
Free Meixner states are a class of functionals on non-commutative polynomials introduced in math.CO/0410482. They are characterized by a resolvent-type form for the generating func…
Monic non-commutative orthogonal polynomials
Michael Anshelevich
Among all states on the algebra of non-commutative polynomials, we characterize the ones that have monic orthogonal polynomials. The characterizations involve recursion relations,…
A major index for matchings and set partitions
William Y. C Chen, Ira M. Gessel, Catherine H. Yan +1
We introduce a statistic $\pmaj$ on partitions of , and show that it is equidistributed with the number of 2-crossings over partitions of with given sets…