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
相关论文
共 50 条
[21]   Structures in coupled map lattices [J].
Department of Physics, University of Poona, Pune - 411 007, India .
Phys A Stat Mech Appl, 1-2 (382-389)
[22]   Synchronization of coupled map lattices [J].
Baraviera, Alexandre ;
Duarte, Pedro ;
Torres, Maria Joana .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2023, 66 (01) :143-163
[23]   KINETICS OF COUPLED MAP LATTICES [J].
VOLEVICH, VL .
NONLINEARITY, 1991, 4 (01) :37-48
[24]   DIFFUSION IN COUPLED MAP LATTICES [J].
Kupiainen, Antti .
XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS, 2010, :381-385
[25]   Entropy of coupled map lattices [J].
Dolgopyat, D .
JOURNAL OF STATISTICAL PHYSICS, 1997, 86 (1-2) :377-389
[26]   Extremal coupled map lattices [J].
Abramson, G ;
Vega, JL .
EUROPEAN PHYSICAL JOURNAL B, 1999, 9 (02) :361-364
[27]   TURBULENCE IN COUPLED MAP LATTICES [J].
KANEKO, K .
PHYSICA D, 1986, 18 (1-3) :475-476
[28]   Structures in coupled map lattices [J].
Amritkar, RE .
PHYSICA A, 1996, 224 (1-2) :382-389
[29]   Extremal coupled map lattices [J].
G. Abramson ;
J.L. Vega .
The European Physical Journal B - Condensed Matter and Complex Systems, 1999, 9 :361-364
[30]   Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties [J].
Dong, Youheng ;
Zhao, Geng ;
Ma, Yingjie .
Tongxin Xuebao/Journal on Communications, 2022, 43 (01) :71-82
12345