97-521 Collet P., Galves A., Schmitt B.
Fluctuations of repetition times for Gibbsian sources (20K, Plain TeX) Sep 24, 97
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Abstract. In this paper we consider the class of stochastic stationary sources induced by one-dimensional Gibbs states, with H\" older continuous potentials. We show that the time elapsed before the source repeats its first $n$ symbols converges in law, when suitably renormalized, to a lognormal distribution.

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