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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"stochastic anordnung"" "subject:"stochastic gegenordnung""

1

Increasing coupling for probabilistic cellular automata

Louis, Pierre-Yves January 2005 (has links)
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.
Wahrscheinlichkeitstheorie
stochastische Anordnung
stochastische Zellulare Automaten
Kopplung
stochastic ordering
Probabilistic Cellular Automata
monotone coupling
Mathematics

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