Geodesic
Poisson suspensions of compactly regenerative transformations
Roland Zweimüller1
1 Fakultät für Mathematik Universität Wien Nordbergstrasse 15 1090 Wien, Austria
Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 211-225.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm110-1-10
Keywords: infinite measure preserving transformations compact regeneration property establish central limit theorem visits sets finite measure points poissonian ensembles extends classical results about noninteracting infinite particle systems driven markov chains realm systems driven weakly dependent processes generated certain measure preserving transformations

Roland Zweimüller 1

1 Fakultät für Mathematik Universität Wien Nordbergstrasse 15 1090 Wien, Austria 
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Roland Zweimüller. Poisson suspensions of
 compactly regenerative transformations. Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 211-225. doi : 10.4064/cm110-1-10. http://geodesic.mathdoc.fr/articles/10.4064/cm110-1-10/

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