Title:
Stable laws for random dynamical systems

Abstract:

For a random system consisting of beta-transformations, or more general
uniformly expanding maps, we consider the convergence to a stable law (the
analogue of the Central Limit Theorem for certain observations that have
infinite second moments). We obtain quenched convergence (that is, for
almost each choice of the sequence of maps) in the Skorokhod $J_1$
topology, by extending results of Marta Tyran-Kaminska. We obtain some of
these results also for random systems of intermittent maps.

This is joint work with Matthew Nicol and Romain Aimino.