Fábio J. Valentim

activity

20092017

most citedHydrodynamic limit of gradient exclusion processes with conductances on $\bb Z^d$

8 citations · 10 across the 2 of their papers we have counts for

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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 $[l, r]$ of $\bb R$, such that $0 < b \leq Φ^{'} \leq b^{- 1}$ . We prove that the evolution, on the diffusive scale, of t…