FKG inequalities in cellular automata and coupled map lattices

被引：3
作者：
Mezic, I
机构：
[1] UNIV WARWICK,INST MATH,NONLINEAR SYST LAB,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND
[2] UNIV WARWICK,INST MATH,ECOSYST ANAL & MANAGEMENT GRP,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND
来源：
PHYSICA D | 1997年 / 103卷 / 1-4期
基金：
英国自然环境研究理事会;
关键词：
D O I：
10.1016/S0167-2789(96)00281-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review conditions for the preservation of the FKG (Fortuin-Kasteleyn-Ginibre) inequalities in cellular automata and coupled map lattices. In addition, conditions are derived on the transition probabilities for N-state probabilistic cellular automata which insure monotonicity and preservation of FKG inequalities. This can be used, for example, to prove normal fluctuation and large deviations theorems for these systems. A number of examples of probabilistic cellular automata and coupled map lattices that preserve positive correlations are presented and the implications of FKG inequalities are discussed.
引用
收藏
页码：491 / 504
页数：14
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