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On Fatou sets concerning Yang-Lee theory
Authors:Email author" target="_blank">Jianyong?QiaoEmail author
Institution:Center of Mathematics, China University of Mining and Technology, Beijing,100083, China
Abstract:The sets of the points corresponding to the complex phases of the Potts model on the diamond hierarchcal lattice are studied. These sets are the Fatou sets of a family of rational mappings. The topological structures of these sets are described completely.
Keywords:Fatou set  phase transition  iteration  rational mapping
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