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FKG inequalities in cellular automata and coupled map lattices
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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. ISSN 0167-2789.
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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) | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 April 1997 | ||||
Dates: |
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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 |
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