Collet P., Galves A., Schmitt B. Fluctuations of repetition times for Gibbsian sources (20K, Plain TeX) 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.