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Proceedings of the American Mathematical Society

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

 
 

 

Pseudo-orbits and topological entropy


Authors: Marcy Barge and Richard Swanson
Journal: Proc. Amer. Math. Soc. 109 (1990), 559-566
MSC: Primary 58F08; Secondary 54H20, 58F20
DOI: https://doi.org/10.1090/S0002-9939-1990-1012923-7
MathSciNet review: 1012923
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Abstract: The topological entropy of a map of a compact metric space is equal to the exponential growth rate of the number of separated periodic pseudo-orbits of period $ n$ as $ n$ tends to infinity.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1012923-7
Article copyright: © Copyright 1990 American Mathematical Society

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