TY - INPR A1 - Louis, Pierre-Yves T1 - Increasing Coupling of Probabilistic Cellular Automata N2 - 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. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2004, 04 KW - stochastic ordering KW - Probabilistic Cellular Automata KW - monotone coupling Y1 - 2011 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/4873 UR - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-51578 ER -