Juggling and applications to \(q\)-analogues
type: Item
instance of: scholarly article
title: Juggling and applications to \(q\)-analogues
zbMATH Open document ID: 0859.05010
DOI: 10.1016/S0012-365X(96)83010-X
author: Richard Ehrenborg
author: Margaret A. Readdy
published in: Discrete Mathematics
publication date: 1997-04-07T00:00:00Z
review text: The paper enumerates periodic juggling patterns where the juggler can only catch and throw one ball at a time and patterns where the juggler can handle many balls at the same time. Assigning weights to the patterns by a crossing statistic, \(q\)-enumeration results are obtained. This technique yields a natural combinatorial interpretation for the \(q\)-Stirling numbers. Juggling patterns help in computing the Poincaré series of the affine Weyl group \(\widetilde A_{d-1}\).
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A30
zbMATH DE Number: 935375
zbMATH Keywords: composition
zbMATH Keywords: periodic juggling patterns
zbMATH Keywords: \(q\)-enumeration
zbMATH Keywords: \(q\)-Stirling numbers
reviewed by: László A. Székely
MaRDI profile type: Publication
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full work available at URL: s0012-365x(96)83010-x
OpenAlex ID: W2138224290
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description: scientific article; zbMATH DE number 935375