数学物理学报(英文版)

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

高军扬; 乔建永   

  1. 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   

  1. 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:

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

Abstract:

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.

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

中图分类号: 

  • 37F10