Waiting for long excursions and close visits to neutral fixed points of null-recurrent ergodic maps

• Autorzy: Roland Zweimüller
• Języki publikacji: EN

Abstrakty

EN

We determine, for certain ergodic infinite measure preserving transformations T, the asymptotic behaviour of the distribution of the waiting time for an excursion (from some fixed reference set of finite measure) of length larger than l as l → ∞, generalizing a renewal-theoretic result of Lamperti. This abstract distributional limit theorem applies to certain weakly expanding interval maps, where it clarifies the distributional behaviour of hitting times of shrinking neighbourhoods of neutral fixed points.

Kategorie tematyczne

• 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
• 37A40: Nonsingular (and infinite-measure preserving) transformations
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 198
• Numer: 2
• Strony: 125-138

Daty

wydano

2008

Twórcy

autor

Roland Zweimüller

• Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, 1090 Wien, Austria

Identyfikatory

DOI

10.4064/fm198-2-3