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Iterations of transformations on the unit interval: Approach to a periodic attractor

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Abstract

We consider a transformation of the unit interval which exhibits a stable periodic attractor and whose topological entropy is positive. We show that the dynamics leading to this attractor has a statistical character.

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Coste, J. Iterations of transformations on the unit interval: Approach to a periodic attractor. J Stat Phys 23, 521–536 (1980). https://doi.org/10.1007/BF01011579

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  • DOI: https://doi.org/10.1007/BF01011579

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