Julia sets and complex singularities in diamond-like hierarchical Potts models
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Publication:2574676
zbMath1170.82331MaRDI QIDQ2574676
Publication date: 30 November 2005
Published in: Science in China. Series A (Search for Journal in Brave)
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
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On buried points and phase transition points in the Julia sets concerning renormalization transformation ⋮ Julia sets, Hausdorff dimension and phase transition ⋮ Fractal dynamics and control of the fractional Potts model on diamond-like hierarchical lattices ⋮ Dynamics of a family of rational maps concerning renormalization transformation ⋮ On the continuity of Hausdorff dimension of Julia sets concerning Potts models ⋮ q-plane zeros of the Potts partition function on diamond hierarchical graphs ⋮ Tutte polynomials of two self-similar network models ⋮ Directed motion of a Brownian motor in a temperature gradient ⋮ The Hausdorff dimension of the Julia sets concerning renormalization transformation ⋮ On quasi-discs and Fatou components of a family of rational maps concerning renormalization transformation ⋮ Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation ⋮ Feigenbaum Julia sets of singularities of free energy ⋮ Julia Sets and Complex Singularities of Free Energies
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