On conformal measures for infinitely renormalizable quadratic polynomials

CSpace

	On conformal measures for infinitely renormalizable quadratic polynomials
	Huang, ZY ; Jiang, YP ; Wang, YF
	2005-10-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:10 页码:1411-1420
摘要	We study a conformal measure for an infinitely renormalizable quadratic polynomial. We prove that the conformal measure is ergodic if the polynomial is unbranched and has complex bounds. The main technique we use in the proof is the three-dimensional puzzle for an infinitely renormalizable quadratic polynomial.
关键词	Julia set conformal measure three-dimensional puzzle infinitely renormalizable quadratic polynomial
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000233365400008
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2064
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, YF
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China 3.CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA 4.NYU, Grad Sch, Dept Math, New York, NY 10016 USA
推荐引用方式 GB/T 7714	Huang, ZY,Jiang, YP,Wang, YF. On conformal measures for infinitely renormalizable quadratic polynomials[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(10):1411-1420.
APA	Huang, ZY,Jiang, YP,&Wang, YF.(2005).On conformal measures for infinitely renormalizable quadratic polynomials.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(10),1411-1420.
MLA	Huang, ZY,et al."On conformal measures for infinitely renormalizable quadratic polynomials".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.10(2005):1411-1420.