학술저널
ON THE RELATIONSHIP BETWEEN STABLE DOMAINS AND CRITICAL ORBITS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 16, No. 1
-
2003.061 - 10 (10 pages)
- 0
This paper is concerned with some properties of stable domains and limit functions. Using the relationship between cycles of periodic stable domains and orbits of critical points and using the Sullivan theorem [19], we prove that the value of a constant limit function in some stable domain for a rational function f of degree at least two lies in the closure of the set of critical orbits of f.
1. Introduction
2. Preliminaries
3. The limit functions on the stable domain
(0)
(0)