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Limit Law of the Length of the Standard Right Factor of a Lyndon Word

Published online by Cambridge University Press:  01 May 2007

R. MARCHAND
Affiliation:
Institut Elie Cartan Nancy (mathématiques), Université Henri Poincaré Nancy 1, Campus Scientifique, BP 239, 54506 Vandoeuvre-lès-Nancy Cedex, France (e-mail: Regine.Marchand@iecn.u-nancy.fr, Elahe.Zohoorian@iecn.u-nancy.fr)
E. ZOHOORIAN AZAD
Affiliation:
Institut Elie Cartan Nancy (mathématiques), Université Henri Poincaré Nancy 1, Campus Scientifique, BP 239, 54506 Vandoeuvre-lès-Nancy Cedex, France (e-mail: Regine.Marchand@iecn.u-nancy.fr, Elahe.Zohoorian@iecn.u-nancy.fr)

Abstract

Consider the set of finite words on a totally ordered alphabet with two letters. We prove that the distribution of the length of the standard right factor of a random Lyndon word with length n, divided by n, converges to when n goes to infinity. The convergence of all moments follows. This paper thus completes the results of [2], in which the limit of the first moment is given.

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Copyright
Copyright © Cambridge University Press 2007

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References

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