Abstract
Letting f and h denoting rational maps of degree at least 2 and 1 respectively, and denote by (Formula presented.) the nth iterate of f. We give upper and lower bounds on the set of accumulation points of the Julia sets (Formula presented.) with respect to the Hausdorff metric on non-empty compact subsets of the sphere.
| Original language | English |
|---|---|
| Journal | Journal of Difference Equations and Applications |
| Volume | 28 |
| Issue number | 6 |
| Pages (from-to) | 771-776 |
| Number of pages | 6 |
| ISSN | 1023-6198 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- geometric limit
- Hausdorff convergence
- Julia set
- rational iteration