Waiting for long excursions and close visits
to neutral fixed points of null-recurrent ergodic maps
Fundamenta Mathematicae, Tome 198 (2008) no. 2, pp. 125-138
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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\rightarrow \infty $, 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.
Keywords:
determine certain ergodic infinite measure preserving transformations asymptotic behaviour distribution waiting time excursion fixed reference set finite measure length larger rightarrow infty generalizing renewal theoretic result lamperti abstract distributional limit theorem applies certain weakly expanding interval maps where clarifies distributional behaviour hitting times shrinking neighbourhoods neutral fixed points
Affiliations des auteurs :
Roland Zweimüller 1
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author = {Roland Zweim\"uller},
title = {Waiting for long excursions and close visits
to neutral fixed points of null-recurrent ergodic maps},
journal = {Fundamenta Mathematicae},
pages = {125--138},
publisher = {mathdoc},
volume = {198},
number = {2},
year = {2008},
doi = {10.4064/fm198-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm198-2-3/}
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Roland Zweimüller. Waiting for long excursions and close visits to neutral fixed points of null-recurrent ergodic maps. Fundamenta Mathematicae, Tome 198 (2008) no. 2, pp. 125-138. doi: 10.4064/fm198-2-3
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