Almost sure limit theorems with applications to non-regular continued fraction algorithms

Claudio Bonanno, Tanja I. Schindler

We consider a conservative ergodic measure-preserving transformation $T$ of the measure space $(X,\mathcal{B},\hat{I}¼)$ with $\hat{I}¼$ a $\ddot{I}ƒ$-finite measure and $\hat{I}¼(X)=\infty$. Given an obse…