Skew Schur Function Representation of Directed Paths in a Slit

Abstract

19 pages, 5 figures, accepted version (Journal of Combinatorics)19 pages, 5 figures, accepted version (Journal of Combinatorics)In this work, we establish a general relationship between the enumeration of weighted directed paths and skew Schur functions, extending work by Bousquet-M\'elou, who expressed generating functions of discrete excursions in terms of rectangular Schur functions

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