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Random permutations with cycle weights

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Betz, Volker, Ueltschi, Daniel and Velenik, Yvan (2011) Random permutations with cycle weights. Annals of Applied Probability, Volume 21 (Number 1). pp. 312-331. doi:10.1214/10-AAP697

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Official URL: http://dx.doi.org/10.1214/10-AAP697

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Abstract

We study the distribution of cycle lengths in models of nonuniform random permutations with cycle weights. We identify several regimes. Depending on the weights, the length of typical cycles grows like the total number n of elements, or a fraction of n or a logarithmic power of n.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Permutations, Probabilities
Journal or Publication Title: Annals of Applied Probability
Publisher: Institute of Mathematical Statistics
ISSN: 1050-5164
Official Date: February 2011
Dates:
DateEvent
February 2011Published
Volume: Volume 21
Number: Number 1
Page Range: pp. 312-331
DOI: 10.1214/10-AAP697
Status: Peer Reviewed
Publication Status: Published
Funder: Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF), Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung [Swiss National Science Foundation] (SNSF)
Grant number: EP/D07181X/1 (EPSRC), DMS-0601075 (NSF)

Data sourced from Thomson Reuters' Web of Knowledge

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