Abstract
A well-known result from the theory of dynamics of semi-
groups of rational functions is that the backward orbit of almost every
complex number accumulates on the Julia set of the semigroup. In this
article we significantly improve that result by giving a tree structure to
the backward orbit and showing that almost every path of the tree is
dense in the Julia set of the semigroup.
groups of rational functions is that the backward orbit of almost every
complex number accumulates on the Julia set of the semigroup. In this
article we significantly improve that result by giving a tree structure to
the backward orbit and showing that almost every path of the tree is
dense in the Julia set of the semigroup.
| Original language | English |
|---|---|
| Pages (from-to) | 77-85 |
| Journal | Sarajevo Journal of Mathematics |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 |
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Application
- Theoretical