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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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A class of $\mathbb {Z}^d$ shifts of finite type which factors onto lower entropy full shifts
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by Angela Desai PDF
Proc. Amer. Math. Soc. 137 (2009), 2613-2621 Request permission

Abstract:

We prove that if a $\mathbb {Z}^d$ shift of finite type with entropy greater than $\log N$ satisfies the corner gluing mixing condition of Johnson and Madden, then it must factor onto the full $N$-shift.
References
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Additional Information
  • Angela Desai
  • Affiliation: Department of Biology, Chemistry, and Mathematics, University of Montevallo, Montevallo, Alabama 35115
  • Address at time of publication: Department of Mathematics, Anne Arundel Community College, 101 College Parkway, Arnold, Maryland 21012
  • Email: avdesai@aacc.edu
  • Received by editor(s): March 28, 2007
  • Received by editor(s) in revised form: September 22, 2007
  • Published electronically: March 25, 2009
  • Communicated by: Jane M. Hawkins
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 2613-2621
  • MSC (2000): Primary 37B10; Secondary 37B40
  • DOI: https://doi.org/10.1090/S0002-9939-09-09381-2
  • MathSciNet review: 2497473