A joint limit theorem for compactly regenerative ergodic transformations

• Autorzy: David Kocheim , Roland Zweimüller
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
• 37A50: Relations with probability theory and stochastic processes
• 60G10: Stationary processes
• 37A40: Nonsingular (and infinite-measure preserving) transformations
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 203
• Numer: 1
• Strony: 33-45

Daty

wydano

2011

Twórcy

autor

David Kocheim

• Faculy of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria

autor

Roland Zweimüller

• Department of Mathematics, University of Surrey, Guildford GU2 7XH, UK

Identyfikatory

DOI

10.4064/sm203-1-2