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.
Publié le : 2002-03-04
Classification:
Mathematics Subject Classification 60G60,
60J10,
60K35,
82C20,
82B26,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR],
[NLIN.NLIN-CG]Nonlinear Sciences [physics]/Cellular Automata and Lattice Gases [nlin.CG],
[NLIN.NLIN-AO]Nonlinear Sciences [physics]/Adaptation and Self-Organizing Systems [nlin.AO],
[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
@article{hal-01277058,
author = {Dai Pra, Paolo and LOUIS, Pierre-Yves and Roelly, Sylvie},
title = {Stationary measures and phase transition for a class of probabilistic cellular automata},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01277058}
}
Dai Pra, Paolo; LOUIS, Pierre-Yves; Roelly, Sylvie. Stationary measures and phase transition for a class of probabilistic cellular automata. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01277058/