@misc{Louis2005,
  author    = {Louis, Pierre-Yves},
  title     = {Increasing coupling for probabilistic cellular automata},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6593},
  year      = {2005},
  abstract  = {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.},
  subject      = {Wahrscheinlichkeitstheorie},
  language  = {en}
}