Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains
We consider a large class of piecewise expanding maps of [0, 1] with a neutral fixed point, and their associated Markov chains whose transition kernel is the Perron–Frobenius operator of with respect to the absolutely continuous invariant probability measure. We give a large class of unbounded functions for which the partial sums of ○ satisfy both a central limit theorem and a bounded law of the iterated logarithm. For the same class, we prove that the partial...