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Parking functions and Haglund--Loehr data

2004/12/19 by Yurii M. Burman, Yurii Burman, Burman, Yurii M.
Mathematics · #05A15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #Stochastic processes and statistical mechanics #math.AG #math.CO #msc:05A15

paper · pdf · doi:10.48550/arxiv.math/0412378

5 pages, no figures, Latex2e

arxiv created 2004/12/19 · openalex publication_date 2004/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A parking function is a sequence of N nonnegative integers majorated by a permutation of the set 0, ..., N-1. We provide a way to encode parking functions by data suggested by J.Haglund and N.Loehr. This coding is compared with another one proposed earlier by M.Shapiro and the author.

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