12 citations · 12 across the 3 of their papers we have counts for
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Loop-erased partitioning of a graph: mean-field analysis
Luca Avena, Alexandre Gaudilliere, Paolo Milanesi +1
We consider a random partition of the vertex set of an arbitrary graph that can be sampled using loop-erased random walks stopped at a random independent exponential time of parame…
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…
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…