Collet P., Galves A., Schmitt B.
Fluctuations of repetition times for Gibbsian sources    
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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.