Hostname: page-component-5c6d5d7d68-qks25 Total loading time: 0 Render date: 2024-08-19T05:17:17.072Z Has data issue: false hasContentIssue false
  • English
  • Français

Differentiable conjugacy for expanding maps on the circle

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 give a necessary and sufficient condition for the conjugacy of the expanding maps on the circle S1 to be differentiable.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 1 , March 1994 , pp. 1 - 7
Copyright
Copyright © Cambridge University Press 1994

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]Bowen, R.. Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Springer Lecture Notes in Mathematics 470 Springer: Berlin, 1975.Google Scholar
[2]Craizer, M.. Teoria ergodica das transformacões expansoras. Inf. Mat. IMPA Serie E 018 (1985).Google Scholar
[3]Mañe, R.. Teoria ergodica. Projeto Euclides IMPA. Rio de Janeiro (1983).Google Scholar
[4]Shub, M.. Endomorphisms of compact differentiable manifolds. Amer. J. Math. 91 (1969), 175–199.CrossRefGoogle Scholar