Abstract
Let ƒ be a polynomial of degree at least two. We shall show that the Julia set J(ƒ) of ƒ is uniformly perfect. This means that there is a constant cϵ(0, 1) depending on ƒ only such that whenever zɛJ(f) and 0 < r < diam J(ƒ) then J(ƒ) intersects the annulus {w:cr ≤ w — z\ ≤r.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 153-159 |
| Number of pages | 7 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 26 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 1994 |
ASJC Scopus subject areas
- Mathematics(all)