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] Entropy of coupled map lattices
    D. Dolgopyat
    Journal of Statistical Physics, 1997, 86 : 377 - 389
  • [22] Synchronization of coupled map lattices
    Baraviera, Alexandre
    Duarte, Pedro
    Torres, Maria Joana
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2023, 66 (01) : 143 - 163
  • [23] KINETICS OF COUPLED MAP LATTICES
    VOLEVICH, VL
    NONLINEARITY, 1991, 4 (01) : 37 - 48
  • [24] DIFFUSION IN COUPLED MAP LATTICES
    Kupiainen, Antti
    XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS, 2010, : 381 - 385
  • [25] Entropy of coupled map lattices
    Dolgopyat, D
    JOURNAL OF STATISTICAL PHYSICS, 1997, 86 (1-2) : 377 - 389
  • [26] Extremal coupled map lattices
    Abramson, G
    Vega, JL
    EUROPEAN PHYSICAL JOURNAL B, 1999, 9 (02) : 361 - 364
  • [27] TURBULENCE IN COUPLED MAP LATTICES
    KANEKO, K
    PHYSICA D, 1986, 18 (1-3): : 475 - 476
  • [28] Structures in coupled map lattices
    Amritkar, RE
    PHYSICA A, 1996, 224 (1-2): : 382 - 389
  • [29] Extremal coupled map lattices
    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
    Dong, Youheng
    Zhao, Geng
    Ma, Yingjie
    Tongxin Xuebao/Journal on Communications, 2022, 43 (01): : 71 - 82
12345