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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-10,
author = {Roland Zweim\"uller},
title = {Poisson suspensions of compactly regenerative transformations},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {211-225},
zbl = {1138.28006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-10}
}
Roland Zweimüller. Poisson suspensions of compactly regenerative transformations. Colloquium Mathematicae, Tome 111 (2008) pp. 211-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-10/