THE NOISY VOTER MODEL

被引：96

作者：

GRANOVSKY, BL

MADRAS, N

机构：

[1] YORK UNIV,DEPT MATH & STAT,DOWNSVIEW,ON M3J 1P3,CANADA

[2] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1995年 / 55卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

VOTER MODEL; NOISY VOTER MODEL; GRAPH; DUALITY; MORAN MODEL; TRANSIENT BEHAVIOR; RANDOM WALK; GREEN FUNCTION; CRITICAL EXPONENTS; SCALING;

D O I：

10.1016/0304-4149(94)00035-R

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The noisy voter model is a spin system on a graph which may be obtained from the basic voter model by adding spontaneous flipping from 0 to 1 and from 1 to 0 at each site. Using duality, we obtain exact formulas for some important time-dependent and equilibrium functionals of this process. By letting the spontaneous flip rates tend to zero, we get the basic voter model, and we calculate the exact critical exponents associated with this ''phase transition''. Finally, we use the noisy voter model to present an alternate view of a result due to Cox and Griffeath on clustering in the two-dimensional basic voter model.

引用

页码：23 / 43

页数：21

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