Poisson suspensions of compactly regenerative transformations

Roland Zweimüller. "Poisson suspensions of compactly regenerative transformations." Colloquium Mathematicae 110.1 (2008): 211-225. <http://eudml.org/doc/283930>.

@article{RolandZweimüller2008,
abstract = {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.},
author = {Roland Zweimüller},
journal = {Colloquium Mathematicae},
keywords = {infinite invariant measure; null-recurrent process; central limit theorem; infinite particle system; improper regeneration},
language = {eng},
number = {1},
pages = {211-225},
title = {Poisson suspensions of compactly regenerative transformations},
url = {http://eudml.org/doc/283930},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Roland Zweimüller
TI - Poisson suspensions of compactly regenerative transformations
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 1
SP - 211
EP - 225
AB - 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.
LA - eng
KW - infinite invariant measure; null-recurrent process; central limit theorem; infinite particle system; improper regeneration
UR - http://eudml.org/doc/283930
ER -