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; applications to attractive PCAs are given. When S is only partially ordered, we show on two examples that a coupling of more than two synchronous dynamics may not exist. We also prove an extension of our main result for a particular class of partially ordered spaces.
| Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:659 |
| Date | January 2005 |
| Creators | Louis, Pierre-Yves |
| Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik |
| Source Sets | Potsdam University |
| Language | English |
| Detected Language | English |
| Type | Postprint |
| Format | application/pdf |
| Source | Statistics & probability letters. - ISSN 0167-7152. - 74 (2005), 1, S. 1 - 13 |
| Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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