A joint limit theorem for compactly regenerative ergodic transformations
@article{Kocheim2011AJL, title={A joint limit theorem for compactly regenerative ergodic transformations}, author={David Kocheim and Roland Zweim{\"u}ller}, journal={Studia Mathematica}, year={2011}, volume={203}, pages={33-45} }
We study conservative ergodic innite measure preserving transformations satisfying a compact regeneration property introduced in (Z4). Assuming regular variation of the wandering rate, we clarify the asymptotic distributional behaviour of the random vector (Zn;Sn), where Zn and Sn respectively are the time of the last visit before time n to, and the occupation time of, a suitable set Y of nite measure.
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