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11 papers · 2 filters
Einstein relation for random walk in a one-dimensional percolation model
Nina Gantert, Matthias Meiners, Sebastian Müller
We consider random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. In a companion paper, we have shown that if the random walk i…
Cutoff at the entropic time for random walks on covered expander graphs
Charles Bordenave, Hubert Lacoin
It is a fact simple to establish that the mixing time of the simple random walk on a d-regular graph with n vertices is asymptotically bounded from below by $d/ ((d-2)\log (d…
Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background
Raphael Butez, David García-Zelada
We study the outliers for two models which have an interesting connection. On the one hand, we study a specific class of planar Coulomb gases which are determinantal. It correspond…
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…
Large Deviations of the Exit Measure through a Characteristic Boundary for a Poisson driven SDE
Etienne Pardoux, Brice Samegni-Kepgnou
Let O the basin of attraction of the unique stable equilibrium of a dynamical system, which is the law of large numbers limit of a Poissonian SDE. We consider the law of the exit p…
Stochastic epidemics in a homogeneous community
Tom Britton, Etienne Pardoux
These notes describe stochastic epidemics in a homogenous community. Our main concern is stochastic compartmental models (i.e. models where each individual belongs to a compartment…