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1/s-expansion for generalized dimensions in a hierarchical s-state Potts model

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We consider the s-state Potts model on the diamond hierarchical lattice for large s. We show that the generalized dimensions Dq of the density of zeros supported by the associated Julia set are given by Dq = 1 - (q - 1)|s|-2/3/4 log 2+O(s-1). The information dimension D1 equals 1 to all orders.

Original languageEnglish
Article number023
Pages (from-to)5951-5962
Number of pages12
JournalJournal of Physics A: Mathematical and General
Issue number20
Publication statusPublished - 1 Dec 1995

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