Title :
Critical distortion of Potts model
Author :
Ye, Zhongxing ; Berger, Toby
Author_Institution :
Dept. of Appl. Math, Jiao Tong Univ., Shanghai, China
Abstract :
It is shown by developing the previous technique that the critical distortion dc of the q-ary Potts models on a number of lattices is related to the radius of convergence R of the Mayer´s series by dc(q-1)R/(1+R). A recursive approach is applied to estimate R as well as dc by using the matrix representation of the Mayer´s series. For those Potts models of which the Mayer´s series are not available, we derive an unified form of lower bound for d c
Keywords :
Potts model; convergence of numerical methods; matrix algebra; rate distortion theory; recursive estimation; series (mathematics); Mayer´s series; critical distortion; lattices; lower bound; matrix representation; q-ary Potts models; radius of convergence; recursive approach; Convergence; Entropy; Hamming distance; Integrated circuit modeling; Lattices; Recursive estimation;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.531866
