Pattern Avoidance for Random Permutations

Using techniques from Poisson approximation, we prove explicit error bounds on the number of permutations that avoid any pattern. Most generally, we bound the total variation distance between the joint distribution of pattern occurrences and a corresponding joint distribution of independent Bernoull...

Full description

Bibliographic Details
Main Authors: Harry Crane, Stephen DeSalvo
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2018-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3213/pdf