Permutations with fixed pattern densities

We study scaling limits of random permutations (“permutons”) constrained by having fixed densities of a finite number of patterns. We show that the limit shapes are determined by maximizing entropy over permutons with those constraints. In particular, we compute (exactly or numerically) the limit sh...

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Bibliographic Details

Published in:	Random structures & algorithms Vol. 56; no. 1; pp. 220 - 250
Main Authors:	Kenyon, Richard, Král', Daniel, Radin, Charles, Winkler, Peter
Format:	Journal Article
Language:	English
Published:	New York John Wiley & Sons, Inc 01.01.2020 Wiley Subscription Services, Inc
Subjects:	Constraints Density graphons permutation patterns Permutations permutons Phase transitions
ISSN:	1042-9832, 1098-2418
Online Access:	Get full text
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