Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1328-1334.

• Articles • Previous Articles     Next Articles

Continuity |of Julia |Set Concerning Potts Models

 GAO Jun-Yang1, YANG Cun-Ji2   

  1. 1.China University of Mining and Technology(Beijing), Beijing 100083;
    2.College of Mathematics and Computer Science, Dali University, Yunnan Dali |671003
  • Received:2009-10-20 Revised:2010-08-18 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(10801134, 11001266)和中央高校基本科研业务费专项基金资助

Abstract:

For λ-state  Potts models on diamond-like hierarchical lattices, the zeros of the partition function  is condense to the  Julia sets J(T). In this paper, the authors discuss the continuity of J(T) about λ ∈R by the methods of complex dynamics.

Key words: Julia set, Continuity,  , Potts models, Partition function

CLC Number: 

  • 37F10
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