Continuity of Julia set and its Hausdorff dimension of Yang-Lee zeros

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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. © 2011 Elsevier Inc.

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Gao, J., & Qiao, J. (2011). Continuity of Julia set and its Hausdorff dimension of Yang-Lee zeros. Journal of Mathematical Analysis and Applications, 378(2), 541–548. https://doi.org/10.1016/j.jmaa.2011.01.016

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