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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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Entropy via random perturbations
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by Yuri Kifer PDF
Trans. Amer. Math. Soc. 282 (1984), 589-601 Request permission

Abstract:

The entropy of a dynamical system ${S^t}$ on a hyperbolic attractor with respect to the Bowen-Ruelle-Sinaǐ measure is obtained as a limit of entropy characteristics of small random perturbations $x_t^\varepsilon$ of ${S^t}$. Both the case of perturbations only in some neighborhood of an attractor and global perturbations of a flow with hyperbolic attracting sets are considered.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 282 (1984), 589-601
  • MSC: Primary 58F15; Secondary 58F30, 58G32
  • DOI: https://doi.org/10.1090/S0002-9947-1984-0732108-0
  • MathSciNet review: 732108