Refine
Has Fulltext
- yes (3) (remove)
Year of publication
- 2004 (3) (remove)
Language
- English (3)
Is part of the Bibliography
- no (3)
Keywords
- Probabilistic Cellular Automata (3)
- Attractive Dynamics (1)
- Coupling (1)
- ERgodicity of Markov Chains (1)
- Gibbs measures (1)
- Interacting Particle Systems (1)
- Interacting particle systems (1)
- Stochastic Ordering (1)
- Stochastische Zellulare Automaten (1)
- Wahrscheinlichkeitstheorie (1)
- Weak Mixing Condition (1)
- Wechselwirkende Teilchensysteme (1)
- monotone coupling (1)
- stochastic ordering (1)
Institute
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.