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arxiv: 0711.4610 · v2 · submitted 2007-11-28 · ❄️ cond-mat.stat-mech · math.DS

Potts models on hierarchical lattices and Renormalization Group dynamics II: examples and numerical results

classification ❄️ cond-mat.stat-mech math.DS
keywords hierarchicallatticesmodelsexampleslatticepottsrenormalizationcall
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We obtain the exact renormalization map and plots of Lee-Yang and Fisher zeros distributions for Potts models on a number of hierarchical lattices: the diamond hierarchical lattice, a lattice we call spider web, the Sierpinski gasket and cylinders. Such models are only examples among the ones we can study in the general framework of hierarchical lattices, developed in a previous paper.

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