A joint limit theorem for compactly regenerative ergodic transformations

David Kocheim, and Roland Zweimüller. "A joint limit theorem for compactly regenerative ergodic transformations." Studia Mathematica 203.1 (2011): 33-45. <http://eudml.org/doc/285637>.

@article{DavidKocheim2011,
abstract = {We study conservative ergodic infinite measure preserving transformations satisfying a compact regeneration property introduced by the second-named author in J. Anal. Math. 103 (2007). Assuming regular variation of the wandering rate, we clarify the asymptotic distributional behaviour of the random vector (Zₙ,Sₙ), where Zₙ and Sₙ are respectively the time of the last visit before time n to, and the occupation time of, a suitable set Y of finite measure.},
author = {David Kocheim, Roland Zweimüller},
journal = {Studia Mathematica},
keywords = {infinite invariant measure; null-recurrent; limit distribution; Darling-Kac theorem; Mittag-Leffler distribution; Dynkin-Lamperti arcsine law},
language = {eng},
number = {1},
pages = {33-45},
title = {A joint limit theorem for compactly regenerative ergodic transformations},
url = {http://eudml.org/doc/285637},
volume = {203},
year = {2011},
}

TY - JOUR
AU - David Kocheim
AU - Roland Zweimüller
TI - A joint limit theorem for compactly regenerative ergodic transformations
JO - Studia Mathematica
PY - 2011
VL - 203
IS - 1
SP - 33
EP - 45
AB - We study conservative ergodic infinite measure preserving transformations satisfying a compact regeneration property introduced by the second-named author in J. Anal. Math. 103 (2007). Assuming regular variation of the wandering rate, we clarify the asymptotic distributional behaviour of the random vector (Zₙ,Sₙ), where Zₙ and Sₙ are respectively the time of the last visit before time n to, and the occupation time of, a suitable set Y of finite measure.
LA - eng
KW - infinite invariant measure; null-recurrent; limit distribution; Darling-Kac theorem; Mittag-Leffler distribution; Dynkin-Lamperti arcsine law
UR - http://eudml.org/doc/285637
ER -