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math.PR2018★ 12 cited
Asymptotic exponential law for the transition time to equilibrium of the metastable kinetic Ising model with vanishing magnetic field
Alexandre Gaudillière, Paolo Milanesi, Maria Eulália Vares
We consider a Glauber dynamics associated with the Ising model on a large two-dimensional box with with minus boundary conditions and in the limit of a vanishing positive external…
math.PR2018
On soft capacities, quasi-stationary distributions and the pathwise approach to metastability
Alexandre Gaudilliere, A. Bianchi, P Milanesi
Motivated by the study of the metastable stochastic Ising model at subcritical temperature and in the limit of a vanishing magnetic field, we extend the notion of (, )-capaci…