Title :
Critical distortion of Potts model
Author :
Ye, Zhongxing ; Berger, Toby
Author_Institution :
Dept. of Appl. Math., Shanghai Jiaotong Univ., China
fDate :
3/1/1998 12:00:00 AM
Abstract :
The critical distortion dc of the Potts models on a number of lattices is shown to be related to the radius of convergence R of Mayer´s series by dc=(q-1)R/(1+R). By using the matrix representation of Mayer´s series, a recursive approach is applied to estimate R, and hence dc for Ising models for which q=2
Keywords :
Ising model; Potts model; convergence of numerical methods; matrix algebra; rate distortion theory; recursive estimation; series (mathematics); Ising models; Mayer´s series; Potts model; convergence; critical distortion; lattices; matrix representation; recursive estimation; Convergence; Entropy; Information theory; Lattices; Random processes; Rate distortion theory; Rate-distortion; Recursive estimation; Temperature distribution; Transmission line matrix methods;
Journal_Title :
Information Theory, IEEE Transactions on
