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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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Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
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by Zhenqi Wang and Wenxiang Sun PDF
Trans. Amer. Math. Soc. 362 (2010), 4267-4282 Request permission

Abstract:

Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.
References
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Additional Information
  • Zhenqi Wang
  • Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
  • Address at time of publication: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
  • Email: wangzq@pku.org.cn, zuw104@psu.edu
  • Wenxiang Sun
  • Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
  • MR Author ID: 315192
  • Email: sunwx@math.pku.edu.cn
  • Received by editor(s): June 11, 2008
  • Published electronically: March 1, 2010
  • Additional Notes: The second author was supported by NNSFC (# 10231020, 10671006) and the National Basic Research Program of China(973 Program) (# 2006CB805900). The second author was the corresponding author for this paper
  • © Copyright 2010 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 4267-4282
  • MSC (2000): Primary 37C40, 37D25
  • DOI: https://doi.org/10.1090/S0002-9947-10-04947-0
  • MathSciNet review: 2608406