Expected length of a product of random reflections

DOI10.1090/S0002-9939-2012-11283-3zbMath1280.20071arXiv1011.5358OpenAlexW2085250365MaRDI QIDQ2846861

Jonas Sjöstrand

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5358

zbMATH Keywords

Coxeter groupsrandom permutationsrandom transpositionsrandom reflectionsabsolute lengthsnumbers of inversions

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial probability (60C05) Probabilistic methods in group theory (20P05)

Related Items (1)

Permutation statistics of products of random permutations

Cites Work

• Unnamed Item
• Expected reflection distance in \(G(r,1,n)\) after a fixed number of reflections
• Estimating the expected reversal distance after a fixed number of reversals
• Expected number of inversions after a sequence of random adjacent transpositions -- an exact expression
• Combinatorics of Coxeter Groups
• The expected number of inversions after n adjacent transpositions

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