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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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Almost sure central limit theorem for strictly stationary processes
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by Emmanuel Lesigne PDF
Proc. Amer. Math. Soc. 128 (2000), 1751-1759 Request permission

Abstract:

On any aperiodic measure preserving system, there exists a square integrable function such that the associated stationary process satifies the Almost Sure Central Limit Theorem.
References
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Additional Information
  • Emmanuel Lesigne
  • Affiliation: Département de Mathématiques, Université François Rabelais, Parc de Grandmont, 37200 Tours, France
  • Email: lesigne@univ-tours.fr
  • Received by editor(s): June 14, 1998
  • Received by editor(s) in revised form: July 22, 1998
  • Published electronically: September 30, 1999
  • Communicated by: Stanley Sawyer
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1751-1759
  • MSC (1991): Primary 28D05, 60G10, 60F05
  • DOI: https://doi.org/10.1090/S0002-9939-99-05157-6
  • MathSciNet review: 1641132