54 citations · 447 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Relaxation Height in Energy Landscapes: an Application to Multiple Metastable States
Emilio N. M. Cirillo, Francesca R. Nardi
The study of systems with multiple (not necessarily degenerate) metastable states presents subtle difficulties from the mathematical point of view related to the variational proble…
Entropy-driven cutoff phenomena
Carlo Lancia, Francesca R. Nardi, Benedetto Scoppola
In this paper we present, in the context of Diaconis' paradigm, a general method to detect the cutoff phenomenon. We use this method to prove cutoff in a variety of models, some al…