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 作者单位： Center of Mathematics, China University of Mining and Technology, Beijing,100083, China 刊 名： 中国科学A辑(英文版) SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS) 年，卷(期)： 2005 48(4) 分类号： 关键词： Fatou set phase transition iteration rational mapping