Potts模型Julia集的连续性

数学物理学报 ›› 2011, Vol. 31 ›› Issue (5): 1328-1334.

Potts模型Julia集的连续性

高军杨¹, 杨存基²

1.中国矿业大学(北京) |北京 100083|2.大理学院数学与计算机学院 |云南大理 |671003

收稿日期:2009-10-20 修回日期:2010-08-18 出版日期:2011-10-25 发布日期:2011-10-25
基金资助:
国家自然科学基金(10801134, 11001266)和中央高校基本科研业务费专项基金资助

Continuity |of Julia |Set Concerning Potts Models

GAO Jun-Yang¹, YANG Cun-Ji²

1.China University of Mining and Technology(Beijing), Beijing 100083;
2.College of Mathematics and Computer Science, Dali University, Yunnan Dali |671003

Received:2009-10-20 Revised:2010-08-18 Online:2011-10-25 Published:2011-10-25
Supported by:
国家自然科学基金(10801134, 11001266)和中央高校基本科研业务费专项基金资助

摘要/Abstract

摘要：

考虑类金刚石型等级晶格上λ -态Potts模型的配分函数的零点的极限集合J(T_nλ), 该文用复动力系统的方法讨论了J(T_nλ) 关于λ∈R 的连续性.

关键词: Julia 集, 连通性, , Potts 模型, 配分函数

Abstract:

For λ-state Potts models on diamond-like hierarchical lattices, the zeros of the partition function is condense to the Julia sets J(T_nλ). In this paper, the authors discuss the continuity of J(T_nλ) about λ ∈R by the methods of complex dynamics.

Key words: Julia set, Continuity, , Potts models, Partition function

中图分类号:

37F10

高军杨, 杨存基. Potts模型Julia集的连续性[J]. 数学物理学报, 2011, 31(5): 1328-1334.

GAO Jun-Yang, YANG Cun-Ji. Continuity |of Julia |Set Concerning Potts Models[J]. Acta mathematica scientia,Series A, 2011, 31(5): 1328-1334.

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