Increasing coupling for probabilistic cellular automata
We give a necessary and sufficient condition for the existence of an increasing coupling of N (N >= 2) synchronous dynamics on S-Zd (PCA). Increasing means the coupling preserves stochastic ordering. We first present our main construction theorem in the case where S is totally ordered; applicatio...
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Format: | Others |
Language: | English |
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Universität Potsdam
2005
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Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6593 http://opus.kobv.de/ubp/volltexte/2006/659/ |