Fixed points and matching points in partitions

DOI10.1007/s11139-022-00551-xzbMath1486.05021OpenAlexW4220958409MaRDI QIDQ2127835

Arnold Knopfmacher, Aubrey Blecher

Publication date: 21 April 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00551-x

zbMATH Keywords

asymptoticsfixed pointgenerating functioncompositionderangementword

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Asymptotic enumeration (05A16)

Related Items (1)

On Blecher and Knopfmacher's fixed points for integer partitions

Cites Work

• Compositions of \(n\) as alternating sequences of weakly increasing and strictly decreasing partitions
• On a balanced property of derangements
• The largest and the smallest fixed points of permutations
• Permutations with extremal number of fixed points
• On fixed points of permutations.
• The cycle structure of random permutations
• On Carlitz compositions
• Fixed points of a random restricted growth sequence
• A Tauberian theorem for partitions
• A General Asymptotic Scheme for the Analysis of Partition Statistics
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