FKG inequalities in cellular automata and coupled map lattices
UNSPECIFIED (1997) FKG inequalities in cellular automata and coupled map lattices. In: Workshop on Lattice Dynamics, UNIV DENIS DIDEROT, PARIS, FRANCE, JUN 21-23, 1995. Published in: PHYSICA D, 103 (1-4). pp. 491-504.Full text not available from this repository.
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|
|Official Date:||15 April 1997|
|Number of Pages:||14|
|Page Range:||pp. 491-504|
|Title of Event:||Workshop on Lattice Dynamics|
|Location of Event:||UNIV DENIS DIDEROT, PARIS, FRANCE|
|Date(s) of Event:||JUN 21-23, 1995|
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