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Analytic models of pseudo-Anosov maps

  • Jorge Lewowicz (a1) and Eduardo Lima De Sá (a1)

Abstract

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.

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References

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[10]Thurston, W.. On the geometry and dynamics of diffeomorphisms of surfaces. Preprint.

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