On conformal measures for infinitely renormalizable quadratic polynomials

作     者：HUANG Zhiyong~1 JIANG Yunping~(2,3) & WANG Yuefei~3 1. School of Information,Renmin University of China,Beijing 100872,China 2. Department of Mathematics,Queens College,City University of New York,NY 11367,USA Department of Mathematics,Graduate School,City University of New York,New York,NY 10016,USA 3. Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China 

作者机构：1. School of Information Renmin University of China 100872 Beijing China 2. Department of Mathematics Queens College City University of New York 11367 NY USA 3. Department of Mathematics Graduate School City University of New York 10016 New York NY USA 4. Academy of Mathematics and Systems Science Chinese Academy of Sciences 100080 Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2005年第48卷第10期

页      面：1411-1420页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by grants from the National Natural Science Foundation of China and the NBRP of China supported in part by grants from the National Natural Science Foundation of China the PSC-CUNY and the Hundred Talents Program from the Chinese Academy of Sciences 

主　　题：Julia set, conformal measure, three-dimensional puzzle, infinitely renormalizable quadratic polynomial. 

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.