# Some unbounded functions of intermittent maps for which the central limit theorem holds - Mathematics > Probability

Some unbounded functions of intermittent maps for which the central limit theorem holds - Mathematics > Probability - Download this document for free, or read online. Document in PDF available to download.

Abstract: We compute some dependence coefficients for the stationary Markov chain whosetransition 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 acentral limit theorem for the partial sums of $f\circ T^i$, when $f$ belongs toa large class of unbounded functions from $0, 1$ to ${\mathbb R}$. We alsoprove other limit theorems and moment inequalities.

Author: ** J. Dedecker, C. Prieur**

Source: https://arxiv.org/