Projects per year
Abstract
Let H be the central hyperbolic component of cubic polynomials (i.e. the one containing z -> z^3). Works of Milnor show that H enjoys a kind of universality property. We construct an analytic coordinate on H recording the dynamical invariants. We use quadratic dynamics as parameter models. This coordinate has good extension properties to at least a large part of the boundary of H. We illustrate this by proving some of these extension properties
| Original language | German |
|---|---|
| Title of host publication | Complex Dynamics : Families and Friends |
| Editors | Dierk Schleicher |
| Number of pages | 37 |
| Place of Publication | Wellesley Massachusetts |
| Publisher | A K Peters |
| Publication date | 2009 |
| Pages | 413-449 |
| ISBN (Print) | 978-1-56881-450-6 |
| Publication status | Published - 2009 |
Keywords
- higher dimensional hyperbolic component
- dynamical coordinates
Projects
- 1 Finished
-
CODY: Conformal Structures and Dynamics
Petersen, C. L., Branner, B., Henriksen, C., Lomonaco, L. L. A., Deniz, A., Godillon, S. & Kabelka, A.
01/01/2007 → 31/12/2010
Project: Research