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

Thaler, Maximilian

doi:10.1090/S0002-9947-98-02312-5

The Dynkin-Lamperti arc-sine laws for measure preserving transformations
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by Maximilian Thaler

Trans. Amer. Math. Soc. 350 (1998), 4593-4607

DOI: https://doi.org/10.1090/S0002-9947-98-02312-5

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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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