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Computing the topological entropy of maps of the interval with three monotone pieces

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Abstract

An algorithm is presented for computing the topological entropy of a piecewise monotone map of the interval having three monotone pieces. The accuracy of the algorithm is discussed and some graphs of the topological entropy obtained using the algorithm are displayed. Some of the ideas behind the algorithm have application to piecewise monotone functions with more than three monotone pieces.

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Block, L., Keesling, J. Computing the topological entropy of maps of the interval with three monotone pieces. J Stat Phys 66, 755–774 (1992). https://doi.org/10.1007/BF01055699

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  • DOI: https://doi.org/10.1007/BF01055699

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