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The Dynkin-Lamperti arc-sine laws for measure preserving transformations
Author(s):
Maximilian
Thaler
Journal:
Trans. Amer. Math. Soc.
350
(1998),
4593-4607.
MSC (1991):
Primary 28D05, 60F05, 60K05
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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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 spectrum in dissipative dynamical systems, J. Physique 41 (1980), 1235-1243 MR 82e:58065 - 11.
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![$[0,1]$](/tran/1998-350-11/S0002-9947-98-02312-5/gif-references/img503.gif) with infinite invariant measures, Isr. J. Math. 46 (1983), 67-96 MR 85g:28020 - 15.
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![$[0,1]$](/tran/1998-350-11/S0002-9947-98-02312-5/gif-references/img504.gif) with indifferent fixed points, Isr. J. Math. 91 (1995), 111-127 MR 96i:28020 - 17.
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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:
10.1090/S0002-9947-98-02312-5
PII:
S 0002-9947(98)02312-5
Received by editor(s):
October 29, 1996
Copyright of article:
Copyright
1998,
American Mathematical Society
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