Emilio N.M. Cirillo, Francesca R. Nardi, Cristian Spitoni
Metastability for reversible probabilistic cellular automata with self-interaction
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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.