The Non-Commutative Cycle Lemma
Combinatorics
2012-10-25 v2 Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.0903.4601,
title = {The Non-Commutative Cycle Lemma},
author = {Craig Armstrong and James A. Mingo and Roland Speicher and Jennifer C. H. Wilson},
journal= {arXiv preprint arXiv:0903.4601},
year = {2012}
}
Comments
13 pages, minor corrections and improvements