On the Equality of Hausdorff Dimensions and Conformal Measures of Parabolic Maps  

作　　者：ZHUANG Wei 

机构地区：[1]Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617,China ) '

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第2期206-213,共8页数学季刊（英文版）

摘　　要：Let f, g be two parabolic maps of degree ≥ 2. HD(J) denotes the Hausdorff dimension of the Julia set J and m f and m g denote the t-conformal measure supported on the Julia set J(f) and J(g) respectively. In this paper we show that if J(f) and J(g) are locally connected and f and g topologically conjugate, then HD(J(f)) = HD(J(g)), mg = mfoh-1 .Let f, g be two dimension of the Julia set J the Julia set J（f） and J（g） locally connected and f and parabolic maps of degree ≥ 2. HD（J） denotes the Hausdorff and mf and mg denote the t-conformal measure supported on respectively. In this paper we show that if J（f） and J（g） are g topologically conjugate, then HD（J（f）） =HD（J（g））,mg= mf o h-1.

关 键 词：Julia set net conformal measure Hausdorff dimension 

分 类 号：O174.51[理学—数学]