The Hausdorff dimension of the Julia set for complexpolynomial Z^d+C  

作　　者：杨国孝 

机构地区：[1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China

出　　处：《Chinese Science Bulletin》1995年第8期617-620,共4页

摘　　要：The dynamics of complex quadratic polynomials P_c(z)=z^2+c has been studiedextensively. In this note, we get one upper bound of the radius of the filled-in Juliaset of P(z), by Bieberbach conjecture(Theorem of de Branges) in univalent functionsand gives an answer to the question of Douady. As its application, a lower bound ofthe Hausdorff dimension for the Julia set of P(z) is obtained.

关 键 词：iterate Julia SET Mandelbrot SET HAUSDORFF dimension. 

分 类 号：O174.14[理学—数学]