8 citations · 10 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
-Sobolev spaces: Theory, Homogenization and Applications
Alexandre B. Simas, Fabio J. Valentim
Fix strictly increasing right continuous functions with left limits $W_i:\bb R \to \bb R$, , and let for $x\in\bb R^d$. We construct the $…
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…