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

doi:10.1016/S0252-9602(08)60055-7

数学物理学报(英文版)

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

高军扬; 乔建永

Center of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China

收稿日期:2006-05-17 修回日期:2006-09-13 出版日期:2008-07-20 发布日期:2008-07-20
通讯作者: 高军扬
基金资助:
The research was supported by National Natural Science Foundation of China
(10625107) and Program for New Century Excellent Talents in University (04-0490)

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

Gao Junyang; Qiao Jianyong

Center of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China

Received:2006-05-17 Revised:2006-09-13 Online:2008-07-20 Published:2008-07-20
Contact: Gao Junyang

摘要/Abstract

摘要：

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

关键词: Hausdorff dimension, continuity, Julia set, Yang-Lee zeros

Abstract:

Key words: Hausdorff dimension, continuity, Julia set, Yang-Lee zeros

中图分类号:

37F10

高军扬; 乔建永. CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS[J]. 数学物理学报(英文版), 2008, 28(3): 530-536.

Gao Junyang; Qiao Jianyong. CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS[J]. Acta mathematica scientia,Series B, 2008, 28(3): 530-536.

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

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

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