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Expected length of a product of random reflections
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2012 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 140, no 12, 4369-4380 p.Article in journal (Refereed) Published
Abstract [en]

We present a simple formula for the expected number of inversions in a permutation of size n obtained by applying t random (not necessarily adjacent) transpositions to the identity permutation. More generally, for any finite irreducible Coxeter group belonging to one of the infinite families (type A, B, D, and I), an exact expression is obtained for the expected length of a product of t random reflections.

Place, publisher, year, edition, pages
2012. Vol. 140, no 12, 4369-4380 p.
Keyword [en]
Permutation, transposition, inversion, Coxeter group, reflection, absolute length
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-110073DOI: 10.1090/S0002-9939-2012-11283-3ISI: 000312117500034Scopus ID: 2-s2.0-84866104371OAI: oai:DiVA.org:kth-110073DiVA: diva2:585488
Funder
Swedish Research Council, 621-2009-6090
Note

QC 20130110

Available from: 2013-01-10 Created: 2013-01-10 Last updated: 2017-12-06Bibliographically approved

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