Poisson suspensions of compactly regenerative transformations

• Autorzy: Roland Zweimüller
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
• 37A40: Nonsingular (and infinite-measure preserving) transformations
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 1
• Strony: 211-225

Daty

wydano

2008

Twórcy

autor

Roland Zweimüller

• Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, 1090 Wien, Austria

Identyfikatory

DOI

10.4064/cm110-1-10