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Absolutely continuous conjugacy of expanding endomorphisms

Published online by Cambridge University Press:  19 September 2008

Carlos Arteaga
Carlos Arteaga
Affiliation:
Departamento de Matematica, Universidade Federal de São Carlos, 13560 São Carlos SP, Brazil
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Abstract

In this article we consider conjugacies between differentiable expanding maps. We give a necessary and sufficient condition for a conjugating map to be absolutely continuous, in terms of the Jacobian around periodic orbits.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 2 , June 1993 , pp. 225 - 230
Copyright
Copyright © Cambridge University Press 1993

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References

REFERENCES

[1]Craizer, M.. Teoria ergódica das transforma¸ões expansoras. Inf/Mat. IMPA, E-018, 1985.Google Scholar
[2]de La Llave, R.. Smooth conjugacy and S.R.B. measure for uniformly and non uniformly hyper systems. Preprint IHES/M/91/30 (1991).Google Scholar
[3]Shub, M.. Endomorphisms of compact differentiable manifolds. Amer. J. Math. 91 (1969), 175–199.Google Scholar
[4]Shub, M. & Sullivan, D.. Expanding endomorphisms of the circle revisited. Ergod. Th. & Dyn. Sys. 5 (1985), 285–289.CrossRefGoogle Scholar