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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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A dynamical Mordell-Lang property on the disk
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by Ming-Xi Wang PDF
Trans. Amer. Math. Soc. 369 (2017), 2183-2204 Request permission

Abstract:

We prove that two finite endomorphisms of the unit disk with degree at least two have orbits with infinite intersections if and only if they have a common iterate.
References
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Additional Information
  • Ming-Xi Wang
  • Affiliation: Department of Mathematics, University of Salzburg, Hellbrunnerstr. 34/I, 5020 Salzburg, Austria
  • MR Author ID: 1031849
  • Email: mingxi.waeng@gmail.com
  • Received by editor(s): December 20, 2013
  • Received by editor(s) in revised form: April 12, 2015, and June 16, 2015
  • Published electronically: October 31, 2016
  • Additional Notes: The author was partially supported by a scholarship of ZGSM and the SNF grant and Austrian Science Fund(FWF): P24574.
  • © Copyright 2016 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 369 (2017), 2183-2204
  • MSC (2010): Primary 11Z05; Secondary 37P05
  • DOI: https://doi.org/10.1090/tran/6775
  • MathSciNet review: 3581231