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Discrete logarithms in free groups
Authors:Yiannis N Petridis  Morten S Risager
Institution:Department of Mathematics and Computer Science, City University of New York, Lehman College, 250 Bedford Park Boulevard, West Bronx, New York 10468-1589 ; Department of Mathematical Sciences, University of Aarhus, Ny Munkegade Building 530, 8000 {Aa}rhus, Denmark
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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