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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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Deviations of trajectory averages and the defect in Pesin’s formula for Anosov diffeomorphisms
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by Steven Orey and Stephan Pelikan PDF
Trans. Amer. Math. Soc. 315 (1989), 741-753 Request permission

Abstract:

A large deviation theorem at the Donsker Varadhan level three is obtained for the convergence of trajectory averages of Anosov diffeomorphisms. It is possible to provide an explicit description of the rate function.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 315 (1989), 741-753
  • MSC: Primary 60F10; Secondary 28D20, 58F11, 58F15
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0935534-4
  • MathSciNet review: 935534