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Analytic models of pseudo-Anosov maps

Published online by Cambridge University Press:  19 September 2008

Jorge Lewowicz and
Eduardo Lima De Sá
Jorge Lewowicz
Affiliation:
Universidad Simón Bolivar, Departamento de Matemáticas, Apartado Postal 80659, Caracas, Venezuela
Eduardo Lima De Sá
Affiliation:
Universidad Simón Bolivar, Departamento de Matemáticas, Apartado Postal 80659, Caracas, Venezuela
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Abstract

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We give a new proof of the existence of analytic models of pseudo-Anosov maps. The persistence properties of Thurston's maps ensure that any Co-perturbation of them presents all their dynamical features. Using Lyapunov functions of two variables we are able to choose certain analytic perturbations which do not add any new dynamical behaviour to the original pseudo-Anosov map.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 3 , September 1986, pp. 385 - 392
Copyright
Copyright © Cambridge University Press 1986

References

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