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...

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Bibliographic Details

Published in:	Discrete Mathematics & Theoretical Computer Science
Main Authors:	Harry Crane, Stephen DeSalvo
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2018-12-01
Subjects:	mathematics - combinatorics mathematics - probability 05a05, 05a15, 05a16, 60c05
Online Access:	https://dmtcs.episciences.org/3213/pdf