54 citations · 447 across the 37 of their papers we have counts for
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Basic Ideas to Approach Metastability in Probabilistic Cellular Automata
Emilio N. M. Cirillo, Francesca R. Nardi, Cristian Spitoni
Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generaliz…
Sum of exit times in series of metastable states in Probabilistic Cellular Automata
Emilio N. M. Cirillo, Francesca R. Nardi, Cristian Spitoni
Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapp…
Sum of exit times in a series of two metastable states
Emilio N. M. Cirillo, Francesca R. Nardi, Cristian Spitoni
We consider the problem of non degenerate in energy metastable states forming a series in the framework of reversible finite state space Markov chains. We assume that starting from…
Metastability for Glauber dynamics on random graphs
Sander Dommers, Frank den Hollander, Oliver Jovanovski +1
In this paper we study metastable behaviour at low temperature of Glauber spin-flip dynamics on random graphs. We fix a large number of vertices and randomly allocate edges accordi…