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A class of $ \mathbb{Z}^d$ shifts of finite type which factors onto lower entropy full shifts

Author(s): Angela Desai
Journal: Proc. Amer. Math. Soc. 137 (2009), 2613-2621.
MSC (2000): Primary 37B10; Secondary 37B40
Posted: March 25, 2009
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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.

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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

DOI: 10.1090/S0002-9939-09-09381-2
PII: S 0002-9939(09)09381-2
Keywords: Shift of finite type, entropy
Received by editor(s): March 28, 2007,
Received by editor(s) in revised form: September 22, 2007
Posted: March 25, 2009
Communicated by: Jane M. Hawkins
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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