Acta mathematica scientia, Series B >
CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS
Received date: 2006-05-17
Revised date: 2006-09-13
Online published: 2008-07-20
Considering the Julia set J(Tλ) of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ(Tλ)>1 and discussed the continuity of J(Tλ) in Hausdorff topology
for λ∈ R.
Key words： Hausdorff dimension; continuity; Julia set; Yang-Lee zeros
Gao Junyang , Qiao Jianyong . CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS[J]. Acta mathematica scientia, Series B, 2008 , 28(3) : 530 -536 . DOI: 10.1016/S0252-9602(08)60055-7
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