Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655920 | Journal of Combinatorial Theory, Series A | 2010 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics