Symbolic extensions and continuity properties of the entropy |
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Authors: | David Burguet |
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Institution: | (2) Mathematics Department, The City College, New York City, USA; |
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Abstract: | In this short note we give a new presentation of the entropy theory of symbolic extensions. Then we deduce from the main results
of this theory some continuity properties of the entropy regarding the smoothness of the dynamical system. We also prove that
generic continuous interval maps have nowhere continuous entropy function. |
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Keywords: | |
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