Article contents
ON INVARIANT LINE FIELDS
Published online by Cambridge University Press: 23 October 2000
Abstract
It is shown that a rational function of degree [ges ] 2 admits an invariant line field with respect to some measure μ, which is an equilibrium state of a Hölder continuous potential whose topological pressure is greater than its supremum, only in very special cases when the Julia set is either a geometric circle or an interval, or totally disconnected and contained in a real-analytic curve.
- Type
- NOTES AND PAPERS
- Information
- Copyright
- © The London Mathematical Society 2000
- 3
- Cited by