Some unbounded functions of intermittent maps for which the central limit theorem holds
Résumé
We compute some dependence coefficients for the stationary Markov chain whose transition kernel is the Perron-Frobenius operator of an expanding map T of [0, 1] with a neutral fixed point. We use these coefficients to prove a central limit theorem for the partial sums of f ◦ T i, when f belongs to a large class of unbounded functions from [0, 1] to R. We also prove other limit theorems and moment inequalities.