UNSPECIFIED (1997) FKG inequalities in cellular automata and coupled map lattices. In: Workshop on Lattice Dynamics, JUN 21-23, 1995, UNIV DENIS DIDEROT, PARIS, FRANCE.

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Abstract

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.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	PHYSICA D
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0167-2789
Date:	15 April 1997
Volume:	103
Number:	1-4
Number of Pages:	14
Page Range:	pp. 491-504
Publication Status:	Published
Title of Event:	Workshop on Lattice Dynamics
Location of Event:	UNIV DENIS DIDEROT, PARIS, FRANCE
Date(s) of Event:	JUN 21-23, 1995
URI:	http://wrap.warwick.ac.uk/id/eprint/17693

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