97-521 Collet P., Galves A., Schmitt B.

Fluctuations of repetition times for Gibbsian sources (20K, Plain TeX) Sep 24, 97

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 97-521.tex