Proof of the Branner-Hubbard conjecture on Cantor Julia sets-Reference-Cited by-同舟云学术

Proof of the Branner-Hubbard conjecture on Cantor Julia sets

Published:2008-11-18 Issue:1 Volume:52 Page:45-65
ISSN:1006-9283
Container-title:Science in China Series A: Mathematics
language:en
Short-container-title:Sci. China Ser. A-Math.

Author:

Qiu WeiYuan,Yin YongCheng

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11425-008-0178-9.pdf

Reference38 articles.

1. Fatou P. Sur les équations fonctionnelles. Bull Sci Math France, 47: 161–271 (1919); 48: 33-94, 208-314 (1920)

2. Julia G. Mémoire sur l’itération des applications fonctionnelles. J Math Pure Appl, 8: 47–245 (1918)

3. Brolin H. Invariant sets under iteration of rational functions. Ark Mat, 6: 103–144 (1965)

4. Branner B, Hubbard J H. The iteration of cubic polynomials, part II: patterns and parapatterns. Acta Math, 169: 229–325 (1992)

5. Hubbard J H. Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz. In: Goldberg L R, Phillps A V, eds. Topological Methods in Modern Mathematics. Publish Or Perish, 1993, 467–511

Cited by 46 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Julia Components of Transcendental Entire Functions with Multiply-Connected Wandering Domains;Computational Methods and Function Theory;2024-04-04

2. Rigidity of non-renormalizable Newton maps;Science China Mathematics;2023-11-02

3. Computing brain networks with complex dynamics;Neural Computing and Applications;2023-08-02

4. Escape components of McMullen maps;Ergodic Theory and Dynamical Systems;2022-11-28

5. Rigidity of Newton dynamics;Advances in Mathematics;2022-10