CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS |
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| Authors: | Gao Junyang Qiao Jianyong |
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| Institution: | (Center of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China) |
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| Abstract: | Considering the Julia set J(Tλ) of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ(Tλ) > 1 and discussed the continuity of J(Tλ) in Hausdorff topology for λ∈ R. |
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| Keywords: | Hausdorff dimension continuity Julia set Yang-Lee zeros |
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