Total disconnectedness of Julia sets and absence of invariant linefields for real polynomials
UNSPECIFIED. (2000) Total disconnectedness of Julia sets and absence of invariant linefields for real polynomials. ASTERISQUE (261). pp. 161-172. ISSN 0303-1179Full text not available from this repository.
In this paper we shall consider real polynomials with one (possibly degenerate) non-escaping critical (folding) point. Necessary and sufficient conditions are given for the total disconnectedness of the Julia set of such polynomials, Also we prove that the Julia sets of such polynomials do not carry invariant linefields. In the real case, this generalises the results by Branner and Hubbard for cubic polynomials and by McMullen on absence of invariant linefields.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ASTERISQUE|
|Publisher:||SOC MATHEMATIQUE FRANCE|
|Number of Pages:||12|
|Page Range:||pp. 161-172|
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