Julia sets and complex singularities in diamond-like hierarchical Potts models

来源 :中国科学A辑（英文版） | 被引量 : 0次 | 上传用户：liubo200987

【摘要】

：

We study the phase transition of the Potts model on diamond-like hierarchical lattices. It is shown that the set of the complex singularities is the Julia set o

【作者】

：

QIAO Jianyong

【机构】

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CenterofMathematics

【出处】

：

中国科学A辑（英文版）

【发表日期】

：

2005年3期

【关键词】

：

Julia set phase transition iteration rationalmapping

【基金项目】

：

国家重点基础研究发展计划(973计划)

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We study the phase transition of the Potts model on diamond-like hierarchical lattices. It is shown that the set of the complex singularities is the Julia set of a rational mapping. An interesting problem is how are these singularities continued to the co

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Julia sets and complex singularities in diamond-like hierarchical Potts models

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