The Non-Commutative Cycle Lemma

Details The Non-Commutative Cycle Lemma The Non-Commutative Cycle Lemma

2009-03-26

arxiv.org/abs/0903.4601v2

Mathematics

Combinatorics

13 pages, minor corrections and improvements

Scientific paper

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.

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