A joint limit theorem for compactly regenerative ergodic transformations

  title={A joint limit theorem for compactly regenerative ergodic transformations},
  author={David Kocheim and Roland Zweim{\"u}ller},
  journal={Studia Mathematica},
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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  • M. Thaler
  • Mathematics
    Ergodic Theory and Dynamical Systems
  • 2002
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