Title of article
The Non-Commutative Cycle Lemma
Author/Authors
Armstrong، نويسنده , , Craig and Mingo، نويسنده , , James A. and Speicher، نويسنده , , Roland and Wilson، نويسنده , , Jennifer C.H. Min، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
1158
To page
1166
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 Kestenʹs Law.
Keywords
free group , Cyclic reduction , Kestenיs law , Random matrices
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2010
Journal title
Journal of Combinatorial Theory Series A
Record number
1531535
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