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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Discrete logarithms in free groups

Authors: Yiannis N. Petridis and Morten S. Risager
Journal: Proc. Amer. Math. Soc. 134 (2006), 1003-1012
MSC (2000): Primary 05C25; Secondary 11M36
Published electronically: October 5, 2005
MathSciNet review: 2196031
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Abstract: For the free group on $n$ generators we prove that the discrete logarithm is distributed according to the standard Gaussian when the logarithm is renormalized appropriately.

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Yiannis N. Petridis
Affiliation: Department of Mathematics and Computer Science, City University of New York, Lehman College, 250 Bedford Park Boulevard, West Bronx, New York 10468-1589
Address at time of publication: The Graduate Center, Mathematics Ph.D. Program, 365 Fifth Avenue, Room 4208 New York, New York 10016-4309

Morten S. Risager
Affiliation: Department of Mathematical Sciences, University of Aarhus, Ny Munkegade Building 530, 8000 Aarhus, Denmark

Received by editor(s): August 9, 2004
Received by editor(s) in revised form: November 12, 2004
Published electronically: October 5, 2005
Additional Notes: The first author was partially supported by PSC CUNY Research Award, No. 60007-33-34, and NSF grant DMS 0401318
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2005 American Mathematical Society