The monotonicity of the entropy for a family of degree one circle maps

Alsedà, Lluís; Mañosas, Francesc

doi:10.1090/S0002-9947-1992-1129433-5

The monotonicity of the entropy for a family of degree one circle maps
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by Lluís Alsedà and Francesc Mañosas

Trans. Amer. Math. Soc. 334 (1992), 651-684

DOI: https://doi.org/10.1090/S0002-9947-1992-1129433-5

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Abstract:

For the natural biparametric family of piecewise linear circle maps with two pieces we show that the entropy increases when any of the two parameters increases. We also describe the regions of the parameter space where the monotonicity is strict.

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