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...

Full description

Bibliographic Details
Main Authors: Samuel Miner, Douglas Rizzolo, Erik Slivken
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2017-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3658/pdf