8 citations · 10 across the 5 of their papers we have counts for
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Lattice model for Fast Diffusion Equation
Freddy Hernández, Milton Jara, Fábio J. Valentim
We obtain a fast diffusion equation (FDE) as scaling limit of a sequence of zero-range process with symmetric unit rate. Fast diffusion effect comes from the fact that the diffusio…
Equilibrium Fluctuations for a Discrete Atlas Model
F. Hernández, M. Jara, Fabio J. Valentim
We consider a discrete version of the Atlas model, which corresponds to a sequence of zero-range processes on a semi-infinite line, with a source at the origin and a diverging dens…
Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities
Jonathan Farfan, Alexandre B. Simas, Fabio J. Valentim
We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the b…
Equilibrium fluctuations for gradient exclusion processes with conductances in random environments
Jonathan Farfan, Alexandre B. Simas, Fabio J. Valentim
We study the equilibrium fluctuations for a gradient exclusion process with conductances in random environments, which can be viewed as a central limit theorem for the empirical di…
Hydrodynamic limit of gradient exclusion processes with conductances on $\bb Z^d$
Fabio J. Valentim
Fix a smooth function $Φ: [l,r] \to \bb R$, defined on some interval of $\bb R$, such that . We prove that the evolution, on the diffusive scale, of t…