# A joint limit theorem for compactly regenerative ergodic transformations

David Kocheim; Roland Zweimüller

Studia Mathematica (2011)

- Volume: 203, Issue: 1, page 33-45
- ISSN: 0039-3223

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topDavid 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 -

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