Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation

作者：Gao JunYang^*; Qiao JianYong; Zhai Yu

来源：Science China Mathematics, 2014, 57(12): 2539-2548.

DOI：10.1007/s11425-014-4872-5

• Julia set
• Mandelbrot set
• Misiurewicz points
• Hausdorff dimension
• transformation

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

• 出版日期2014-12
• 单位中国矿业大学（北京）; 北京邮电大学