Journal
NEURAL NETWORKS
Volume 16, Issue 10, Pages 1483-1497Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0893-6080(03)00190-4
Keywords
stochastic interactions; Markov chains; entropy; informationn maximization
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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.
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