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Article: Fisher zeros and Julia sets: a multifractal analysis

TitleFisher zeros and Julia sets: a multifractal analysis
Authors
Hu, BLin, B
Issue Date1991
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa
Citation
Physica A: Statistical Mechanics and its Applications, 1991, v. 177 n. 1-3, p. 38-44 How to Cite?
AbstractWe 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. © 1991.
Persistent Identifierhttp://hdl.handle.net/10722/90893
ISSN
0378-4371
2023 Impact Factor: 2.8
2023 SCImago Journal Rankings: 0.661
ISI Accession Number ID
WOS:A1991GJ92700006

 

DC FieldValueLanguage
dc.contributor.authorHu, Ben_HK
dc.contributor.authorLin, Ben_HK
dc.date.accessioned2010-09-17T10:09:57Z-
dc.date.available2010-09-17T10:09:57Z-
dc.date.issued1991en_HK
dc.identifier.citationPhysica A: Statistical Mechanics and its Applications, 1991, v. 177 n. 1-3, p. 38-44en_HK
dc.identifier.issn0378-4371en_HK
dc.identifier.urihttp://hdl.handle.net/10722/90893-
dc.description.abstractWe 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. © 1991.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physaen_HK
dc.relation.ispartofPhysica A: Statistical Mechanics and its Applicationsen_HK
dc.titleFisher zeros and Julia sets: a multifractal analysisen_HK
dc.typeArticleen_HK
dc.identifier.emailLin, B:blin@hku.hken_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0010108496en_HK
dc.identifier.volume177en_HK
dc.identifier.issue1-3en_HK
dc.identifier.spage38en_HK
dc.identifier.epage44en_HK
dc.identifier.isiWOS:A1991GJ92700006-
dc.identifier.issnl0378-4371-

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