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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The Dynkin-Lamperti arc-sine laws
for measure preserving transformations


Author: Maximilian Thaler
Journal: Trans. Amer. Math. Soc. 350 (1998), 4593-4607
MSC (1991): Primary 28D05, 60F05, 60K05
MathSciNet review: 1603998
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Abstract: Arc-sine laws in the sense of renewal theory are proved for return time processes generated by transformations with infinite invariant measure on sets satisfying a type of Darling-Kac condition, and an application to real transformations with indifferent fixed points is discussed.


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Additional Information

Maximilian Thaler
Affiliation: Institute of Mathematics\ University of Salzburg\ Hellbrunnerstraße 34\ A-5020 Salzburg, Austria
Email: Maximilian.Thaler@sbg.ac.at

DOI: http://dx.doi.org/10.1090/S0002-9947-98-02312-5
PII: S 0002-9947(98)02312-5
Received by editor(s): October 29, 1996
Article copyright: © Copyright 1998 American Mathematical Society