The Non-Commutative Cycle Lemma

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:117

Article

Armstrong, Craig¹  Mingo, James A.¹  Speicher, Roland¹  Wilson, Jennifer C. H.¹ 

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

关键词: Free group;    Cyclic reduction;    Kesten's law;    Random matrices;   

DOI  :  10.1016/j.jcta.2009.12.002

来源: Elsevier

【 摘 要 】

We present a non-commutative version of the Cycle Lemma of Dvoretsky and Motzkin that applies to free groups and use this result to solve a number of problems involving cyclic reduction in the free group. We also describe an application to random matrices, in particular the fluctuations of Kesten's Law. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free