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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Bibliographic Details
Main Author: Louis, Pierre-Yves
Format: Others
Language:English
Published: Universität Potsdam 2005
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6593
http://opus.kobv.de/ubp/volltexte/2006/659/