Some unbounded functions of intermittent maps for which the central limit theorem holds

Details Some unbounded functions of intermittent maps for which the central limit theorem holds Some unbounded functions of intermittent maps for which the central limit theorem holds

2007-12-17

arxiv.org/abs/0712.2726v3

Mathematics

Probability

16 pages

Scientific paper

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 $f\circ T^i$, when $f$ belongs to a large class of unbounded functions from $[0, 1]$ to ${\mathbb R}$. We also prove other limit theorems and moment inequalities.

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