Below is the ascii version of the abstract for 07-172.
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Emilio N.M. Cirillo, Francesca R. Nardi, Cristian Spitoni
Metastability for reversible probabilistic cellular automata with self-interaction
(495K, Pdf file)
ABSTRACT. The problem of metastability for a stochastic dynamics with a
parallel updating rule is addressed in the Freidlin-Wentzel regime
namely, finite volume, small magnetic field, and small temperature.
The model is characterized by the existence of many fixed points and cyclic
pairs of the zero temperature dynamics, in which the system can be trapped in
its way to the stable phase. Nevertheless, the main features of metastability
can be proven by using recent powerful approaches, which do not need a complete
description of such fixed points but rely on
few model dependent results such as a recurrence property to
the metastable states and the determination of all the saddles between the
metastable and the stable state.