Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-12-04T19:46:57.204Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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