Asymptotic distribution of fixed points of pattern-avoiding involutions

For a variety of pattern-avoiding classes, we describe the limiting distribution for the number of fixed points for involutions chosen uniformly at random from that class. In particular we consider monotone patterns of arbitrary length as well as all patterns of length 3. For monotone patterns we ut...

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Bibliografische gegevens
Hoofdauteurs: Samuel Miner, Douglas Rizzolo, Erik Slivken
Formaat: Artikel
Taal:English
Gepubliceerd in: Discrete Mathematics & Theoretical Computer Science 2017-12-01
Reeks:Discrete Mathematics & Theoretical Computer Science
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Online toegang:https://dmtcs.episciences.org/3658/pdf