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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory
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by Zemer Kosloff PDF
Trans. Amer. Math. Soc. 369 (2017), 6373-6388 Request permission

Abstract:

We show that there exists a universal gap in the failure of the ergodic theorem for symmetric Birkhoff sums in infinite ergodic theory.
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Additional Information
  • Zemer Kosloff
  • Affiliation: Mathematics Institute, University of Warwick, Coventry, CV47AL, United Kingdom
  • MR Author ID: 957057
  • Email: z.kosloff@warwick.ac.uk
  • Received by editor(s): January 5, 2015
  • Received by editor(s) in revised form: May 4, 2015, and September 25, 2015
  • Published electronically: March 30, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 369 (2017), 6373-6388
  • MSC (2010): Primary 37A17, 37A30, 37A40; Secondary 37D40
  • DOI: https://doi.org/10.1090/tran/6867
  • MathSciNet review: 3660225