Fisher zeros and Julia sets: a multifractal analysis

We consider the Potts model on a hierarchical lattice. A multifractal analysis of the Julia set associated with the renormalization-group transformation, which gives the Fisher zeros of the partition function in the complex temperature plane, is performed. The behavior of the singularity spectrum f(α) and the generalized dimension Dq as a function of the number of states is studied.

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Year of publication:	1991
Authors:	Hu, Bambi ; Lin, Bin
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 177.1991, 1, p. 38-44
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011061728