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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Recurrent and periodic points in dendritic Julia sets
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by Alexander Blokh PDF
Proc. Amer. Math. Soc. 141 (2013), 3587-3599 Request permission

Abstract:

We relate periodic and recurrent points in dendritic Julia sets. This generalizes well-known results for interval dynamics.
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Additional Information
  • Alexander Blokh
  • Affiliation: Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama 35294-1170
  • MR Author ID: 196866
  • Email: ablokh@math.uab.edu
  • Received by editor(s): August 26, 2011
  • Received by editor(s) in revised form: December 16, 2011, and January 5, 2012
  • Published electronically: July 1, 2013
  • Additional Notes: The author was partially supported by NSF grant DMS–0901038

  • Dedicated: Dedicated to A. N. Sharkovskiy on the occasion of his 75th birthday
  • Communicated by: Bryna Kra
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 3587-3599
  • MSC (2010): Primary 37B45; Secondary 37C25, 37E05, 37E25, 37F10, 37F50
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11633-3
  • MathSciNet review: 3080181