# 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 - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.

Autor: J. Dedecker, C. Prieur

Fuente: https://arxiv.org/