8 citations · 10 across the 2 of their papers we have counts for
3 papers
math.PR2017
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…
math.PR2015★ 2 cited
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…
math.PR2009★ 8 cited
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…