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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A LIL for occupation times of stable processes
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by Narn-Rueih Shieh PDF
Proc. Amer. Math. Soc. 100 (1987), 154-158 Request permission

Abstract:

We prove a Strassen-type law of iterated logarithms for the occupation times of an ${R^d}$-valued $(d \geq 1)$ stable process with the scaling property and positive density functions. An immediate application of our result is to obtain the asymptotic behavior of the occupation times of a path occupied in large spheres.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 100 (1987), 154-158
  • MSC: Primary 60F17; Secondary 60J30
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0883420-4
  • MathSciNet review: 883420