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Patterns in random permutations avoiding the pattern 321
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2019 (English)In: Random structures & algorithms (Print), ISSN 1042-9832, E-ISSN 1098-2418, Vol. 55, no 2, p. 249-270Article in journal (Refereed) Published
Abstract [en]

We consider a random permutation drawn from the set of 321-avoiding permutations of length n and show that the number of occurrences of another pattern sigma has a limit distribution, after scaling by n(m + l) where m is the length of sigma and l is the number of blocks in it. The limit is not normal, and can be expressed as a functional of a Brownian excursion.

Place, publisher, year, edition, pages
WILEY , 2019. Vol. 55, no 2, p. 249-270
Keywords [en]
patterns in permutations, pattern-avoiding permutations, random permutations
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:uu:diva-390378DOI: 10.1002/rsa.20806ISI: 000475814600001OAI: oai:DiVA.org:uu-390378DiVA, id: diva2:1341792
Funder
Knut and Alice Wallenberg FoundationAvailable from: 2019-08-12 Created: 2019-08-12 Last updated: 2019-08-12Bibliographically approved

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Janson, Svante

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