9 citations · 10 across the 4 of their papers we have counts for
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Hydrodynamics for a non-conservative Interacting Particle System
Glauco Valle
We obtain the hydrodynamic limit of one-dimensional interacting particle systems describing the macroscopic evolution of the density of mass in infinite volume from the microscopic…
Tightness for the interfaces of one-dimensional voter models
Samir Belhaouari, Thomas Mountford, Glauco Valle
We show that for the voter model on corresponding to a random walk with kernel and starting from unanimity to the right and opposing unanimity to…
Evolution of the interfaces in a two dimensional Potts model
Glauco Valle
We investigate the evolution of the random interfaces in a two dimensional Potts model at zero temperature under Glauber dynamics for some particular initial conditions. We prove t…
A microscopic model for Stefan's melting and freezing problem
Claudio Landim, Glauco Valle
We study a class of one-dimensional interacting particle systems with random boundaries as a microscopic model for Stefan's melting and freezing problem. We prove that under diffus…