Qiao, Jianyong; Li, Yuhua On connectivity of Julia sets of Yang-Lee zeros. (English) Zbl 1135.82307 Commun. Math. Phys. 222, No. 2, 319-326 (2001). Summary: We prove that the Julia sets of the Yang-Lee zeros of the Potts model on the diamond hierarchical lattice are connected sets on the complex plane. Cited in 16 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets 82B26 Phase transitions (general) in equilibrium statistical mechanics 82B28 Renormalization group methods in equilibrium statistical mechanics PDFBibTeX XMLCite \textit{J. Qiao} and \textit{Y. Li}, Commun. Math. Phys. 222, No. 2, 319--326 (2001; Zbl 1135.82307) Full Text: DOI