Skew Schur Function Representation of Directed Paths in a Slit

Published 23 Jul 2019 in math.CO | (1907.09842v2)

Abstract: 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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