Jon Aaronson
Title: Limit theory for stationary processes via Darling-Kac: an update

Abstract: We prove stable limit theorems for and one-sided laws of the iterated logarithm for positive, stationary, processes satisfying certain mixing conditions which occur naturally in certain dynamical systems

The method of proof is by building a Kakutani tower over the generating probability preserving transformation. The resulting infinite measure preserving transformation is "weakly pointwise dual ergodic" and the advertised limits follow from Darling Kac theory and a standard inversion argument.

Joint work with Roland Zweimüller