Two-boundary lattice paths and parking functions

DOI10.1016/j.aam.2006.08.001zbMath1130.05003OpenAlexW2073788122MaRDI QIDQ2467346

Joseph P. S. Kung, Xinyu Sun, Catherine Huafei Yan

Publication date: 21 January 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2006.08.001

zbMATH Keywords

lattice pathparking functionAppell relationsarea and sum enumerators

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (2)

Lattice paths with periodic boundaries ⋮ Lattice and Schröder paths with periodic boundaries

Cites Work

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• Sheffer polynomials for computing exact Kolmogorov-Smirnov and Renyi type distributions
• Exact formulas for moments of sums of classical parking functions
• Expected sums of general parking functions
• A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
• Gončarov polynomials and parking functions
• A solution to the tennis ball problem
• The Smirnov Two Sample Tests as Rank Tests
• An Occupancy Discipline and Applications
• Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions
• Simple proofs of Steck's determinantal expressions for probabilities in the Kolmogorov and Smirnov tests

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