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We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
@article{PS_2002__6__89_0,
author = {Pra, Paolo Dai and Louis, Pierre-Yves and R{\oe}lly, Sylvie},
title = {Stationary measures and phase transition for a class of probabilistic cellular automata},
journal = {ESAIM: Probability and Statistics},
pages = {89--104},
publisher = {EDP-Sciences},
volume = {6},
year = {2002},
doi = {10.1051/ps:2002004},
zbl = {1003.60090},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ps:2002004/}
}
TY - JOUR AU - Pra, Paolo Dai AU - Louis, Pierre-Yves AU - Rœlly, Sylvie TI - Stationary measures and phase transition for a class of probabilistic cellular automata JO - ESAIM: Probability and Statistics PY - 2002 SP - 89 EP - 104 VL - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ps:2002004/ DO - 10.1051/ps:2002004 LA - en ID - PS_2002__6__89_0 ER -
%0 Journal Article %A Pra, Paolo Dai %A Louis, Pierre-Yves %A Rœlly, Sylvie %T Stationary measures and phase transition for a class of probabilistic cellular automata %J ESAIM: Probability and Statistics %D 2002 %P 89-104 %V 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ps:2002004/ %R 10.1051/ps:2002004 %G en %F PS_2002__6__89_0
Pra, Paolo Dai; Louis, Pierre-Yves; Rœlly, Sylvie. Stationary measures and phase transition for a class of probabilistic cellular automata. ESAIM: Probability and Statistics, Tome 6 (2002), pp. 89-104. doi : 10.1051/ps:2002004. http://geodesic.mathdoc.fr/articles/10.1051/ps:2002004/
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