4 papers
Local limit theorems for hitting times and return times of small sets
Max Auer, Roland Zweimüller
We establish abstract local limit theorems for hitting times and return-times of suitable sequences (A_{l}) of asymptotically rare events in ergodic probability preserving dynamica…
Image sets in measurable dynamics
Roland Zweimüller
While routinely used in other areas of dynamics, image sets are ill-defined objects in general non-invertible measurable dynamics. We propose a way of consistently working with ima…
Hitting Times and Positions in Rare Events
Roland Zweimüller
We establish abstract limit theorems which provide sufficient conditions for a sequence of rare events in an ergodic probability preserving dynamical system to exhibit Po…
Hitting-time Limits for some Exceptional Rare Events of Ergodic Maps
Roland Zweimüller
We discuss limit distributions for hitting-time functions of certain exceptional families of asymptotically rare events for ergodic probability preserving transformations. The abst…