Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation  

作　　者：GAO JunYang QIAO JianYong ZHAI Yu 

机构地区：[1]School of Science, China University of Mining and Technology [2]School of Science, Beijing University of Posts and Telecommunications

出　　处：《Science China Mathematics》2014年第12期2539-2548,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(GrantNos.11371363,11231009,11261002 and 11201474);the Special Basic Scientific Research Funds of Central Universities in China

摘　　要：We study Misiurewicz points on the parameter space about a family of rational maps Tλ concerning renormalization transformation in statistical mechanic. We determine the intersection points of the Julia set J(Tλ) and the positive real axis R+and discuss the continuity of the Hausdorff dimension HD(J(f)) about real parameter λ.We study Misiurewicz points on the parameter space about a family of rational maps Tλ concerning renormalization transformation in statistical mechanic. We determine the intersection points of the Julia set J（Tλ） and the positive real axis R＋ and discuss the continuity of the Hausdorff dimension HD（J（f）） about real parameter ）λ.

关 键 词：Julia set Mandelbrot set Misiurewicz points Hausdorff dimension TRANSFORMATION 

分 类 号：O414.2[理学—理论物理]