CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS  

作　　者：高军扬 乔建永 

机构地区：[1]Center of Mathematics, China University of Mining and Technology (Beijing)

出　　处：《Acta Mathematica Scientia》2008年第3期530-534,共5页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China (10625107);Program for New Century Excellent Talents in University (04-0490)

摘　　要：Considering the Julia set J（Tλ） of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ（Tλ） 〉 1 and discussed the continuity of J（Tλ） in Hausdorff topology for λ∈R.Considering the Julia set J（Tλ） of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ（Tλ） 〉 1 and discussed the continuity of J（Tλ） in Hausdorff topology for λ∈R.

关 键 词：Hausdorff dimension CONTINUITY Julia set Yang-Lee zeros 

分 类 号：O414.2[理学—理论物理]