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Poisson suspensions of compactly regenerative transformations

Tom 110 / 2008

Roland Zweimüller Colloquium Mathematicum 110 (2008), 211-225 MSC: Primary 28D05, 37A40, 37C30. DOI: 10.4064/cm110-1-10

Streszczenie

For infinite measure preserving transformations with a compact regeneration property we establish a central limit theorem for visits to good sets of finite measure by points from Poissonian ensembles. This extends classical results about (noninteracting) infinite particle systems driven by Markov chains to the realm of systems driven by weakly dependent processes generated by certain measure preserving transformations.

Autorzy

  • Roland ZweimüllerFakultät für Mathematik
    Universität Wien
    Nordbergstrasse 15
    1090 Wien, Austria
    e-mail

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