Pierre Collet et al 1999 Nonlinearity 12 1225 doi:10.1088/0951-7715/12/4/326
Repetition times for Gibbsian sources
Pierre Collet
, Antonio Galves
and Bernard Schmitt§
Recommended by V F Lazutkin
In this paper we consider the class of stochastic stationary sources induced by one-dimensional Gibbs states, with Hölder continuous potentials. We show that the time elapsed before the source repeats its first n symbols, when suitably renormalized, converges in law either to a log-normal distribution or to a finite mixture of exponential random variables. In the first case we also prove a large deviation result.
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Issue 4 (July 1999)
Received 16 July 1998
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Repetition times for Gibbsian sources
Pierre Collet et al 1999 Nonlinearity 12 1225
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