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.
We study a conformal measure for an infinitely renormalizable quadratic poly- nomial.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.
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
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.
