Dynamical properties of strongly interacting Markov chains
Dynamical properties of strongly interacting Markov chains
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DOI：
10.1016/s0893-6080(03)00190-4
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发表时间：
2003-12-01
期刊：
影响因子：
7.8
通讯作者：
Wennekers, T
中科院分区：
文献类型：
--
作者：
Ay, N;Wennekers, T
多个随机单元的空间相互依赖性可以通过联合概率分布与相应的因子分解分布的Kullback-Leibler散度来适当地量化。在本文中，一个广义的随机相互作用的措施，它也捕捉时间的相互依赖性，马尔可夫链的设置内进行了分析。分析研究了具有强相互作用随机单元的系统的动力学性质，并通过计算机模拟加以说明。特别是，在这样的系统中的决定论的出现证明。(C)2003 Elsevier Ltd.保留所有权利。
Spatial interdependences of multiple stochastic units can be suitably quantified by the Kullback-Leibler divergence of the joint probability distribution from the corresponding factorized distribution. In the present paper, a generalized measure for stochastic interaction, which also captures temporal interdependences, is analysed within the setting of Markov chains. The dynamical properties of systems with strongly interacting stochastic units are analytically studied and illustrated by computer simulations. In particular, the emergence of determinism in such systems is demonstrated. (C) 2003 Elsevier Ltd. All rights reserved.