On Fatou sets concerning Yang-Lee theory

The sets of the points corresponding to the complexphases of the Potts model on the diamond hierarchcal lattice arestudied. These sets are the Fatou sets of a family of rationalmappings. The topological structures of these sets are described completely.

作 者： QIAO Jianyong   作者單位： Center of Mathematics, China University of Mining and Technology, Beijing,100083, China  刊 名： 中國科學A輯(英文版)  SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS)  年，卷(期)： 2005 48(4)  分類號：   關鍵詞： Fatou set   phase transition   iteration   rational mapping  

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