Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (1): 53-61.

• Articles • Previous Articles     Next Articles

Estimation And Lower Bound Of Critical Distortion For Potts Models

  

  1. (Department of Applied Mathematics, Jiao Tong University, Shanghai 200030) |

  • Online:1999-02-01 Published:1999-02-01

Abstract:

 

 This paper is a continuation of our previous works [1,2,3].The critical distortion dc  of q-ary Potts models is shown to be related to the radius of convergence R of the Mayer's series by dc=(q-1)R/(1+R). For those models which the Mayer's series are not available, a unified lower bound of dc is derived.

Key words: Pottsmodel, Criticaldistortion, εentropy

CLC Number: 

  • 60G
Trendmd