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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/







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