Infinitely renormalizable quadratic polynomials

Authors
Jiang, YP
Citation
Yp. Jiang, Infinitely renormalizable quadratic polynomials, T AM MATH S, 352(11), 2000, pp. 5077-5091
Citations number
20
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
11
Year of publication
2000
Pages
5077 - 5091
Database
ISI
SICI code
0002-9947(2000)352:11<5077:IRQP>2.0.ZU;2-P
Abstract
We prove that the Julia set of a quadratic polynomial which admits an infin ite sequence of unbranched, simple renormalizations with complex bounds is locally connected. The method in this study is three-dimensional puzzles.