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Phase Transition and Correlation Decay in Coupled Map Lattices

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De Maere, Aurélie [UCL]

For a Coupled Map Lattice with a specific strong coupling emulating Stavskaya's probabilistic cellular automata, we prove the existence of a phase transition using a Peierls argument, and exponential convergence to the invariant measures for a wide class of initial states using a technique of decoupling originally developed for weak coupling. This implies the exponential decay, in space and in time, of the correlation functions of the invariant measures.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2010
Language Anglais
Journal information "Communications in Mathematical Physics" - Vol. 297, no. 1, p. 229-264 (2010)
Peer reviewed yes
Publisher Springer (New York)
issn 0010-3616
e-issn 1432-0916
Publication status Publié
Affiliation UCL - SST/CRC - Centre de ressources du cyclotron
Links
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Bibliographic reference De Maere, Aurélie. Phase Transition and Correlation Decay in Coupled Map Lattices. In: Communications in Mathematical Physics, Vol. 297, no. 1, p. 229-264 (2010)
Permanent URL http://hdl.handle.net/2078.1/33872