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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Rotation numbers for random dynamical systems on the circle
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by Weigu Li and Kening Lu PDF
Trans. Amer. Math. Soc. 360 (2008), 5509-5528 Request permission

Abstract:

In this paper, we study rotation numbers of random dynamical systems on the circle. We prove the existence of rotation numbers and the continuous dependence of rotation numbers on the systems. As an application, we prove a theorem on analytic conjugacy to a circle rotation.
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Additional Information
  • Weigu Li
  • Affiliation: School of Mathematics, Peking University, Beijing 100871, People’s Republic of China
  • Email: weigu@math.pku.edu.cn
  • Kening Lu
  • Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
  • MR Author ID: 232817
  • Email: klu@math.byu.edu
  • Received by editor(s): November 24, 2006
  • Published electronically: May 29, 2008
  • Additional Notes: This work was partially supported by NSF0200961, NSF0401708, and NSFC10371083 (second author) and NSFC10531010 and NNSF10525104 (first author).
  • © Copyright 2008 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 5509-5528
  • MSC (2000): Primary 60H15; Secondary 34C35, 58F11, 58F15, 58F36
  • DOI: https://doi.org/10.1090/S0002-9947-08-04619-9
  • MathSciNet review: 2415083