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

Lluís Alsedà; Francesc Mañosas

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

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

Lluís Alsedà, Francesc Mañosas

Departament de Matemàtiques

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Resum

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. © 1992 American Mathematical Society.

Idioma original	Anglès
Pàgines (de-a)	651-684
Revista	Transactions of the American Mathematical Society
Volum	334
Número	2
DOIs	https://doi.org/10.1090/S0002-9947-1992-1129433-5
Estat de la publicació	Publicada - 1 d’oct. 1992

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10.1090/S0002-9947-1992-1129433-5

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title = "The monotonicity of the entropy for a family of degree one circle maps",

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. {\textcopyright} 1992 American Mathematical Society.",

keywords = "Kneading theory, Monotonicity, Topological entropy",

author = "Llu{\'i}s Alsed{\`a} and Francesc Ma{\~n}osas",

year = "1992",

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T1 - The monotonicity of the entropy for a family of degree one circle maps

AU - Alsedà, Lluís

AU - Mañosas, Francesc

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N2 - 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. © 1992 American Mathematical Society.

AB - 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. © 1992 American Mathematical Society.

KW - Kneading theory

KW - Monotonicity

KW - Topological entropy

U2 - 10.1090/S0002-9947-1992-1129433-5

DO - 10.1090/S0002-9947-1992-1129433-5

M3 - Article

SN - 0002-9947

VL - 334

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EP - 684

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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

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