Continuity of Julia set and its Hausdorff dimension of Yang-Lee zeros |
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| Authors: | Junyang Gao Jianyong Qiao |
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| Institution: | School of Science, China University of Mining and Technology, Beijing, 100083, China |
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| Abstract: | We show the continuity of the Julia set and its Hausdorff dimension about a family of rational maps concerning 2-dimensional diamond hierarchical Potts models about anti-ferromagnetic coupling in statistical mechanics. |
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| Keywords: | Continuity Hausdorff dimension Julia set Renormalization transformations |
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