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

被引：0
|
作者：
高军扬 [1 ]
乔建永 [1 ]
机构：
[1] Center of Mathematics, China University of Mining and Technology (Beijing)
来源：
Acta Mathematica Scientia | 2008年 / 03期
基金：
中国国家自然科学基金;
关键词：
Hausdorff dimension; continuity; Julia set; Yang-Lee zeros;
D O I：
暂无
中图分类号：
O414.2 [统计物理学];
学科分类号：
0809 ;
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.
引用
收藏
页码：530 / 534
页数：5
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