22 citations · 25 across the 4 of their papers we have counts for
4 papers · 1 filter
Density fluctuations for a zero-range process on the percolation cluster
Patricia Goncalves, Milton Jara
We prove that the density fluctuations for a zero-range process evolving on the supercritical percolation cluster are given by a generalized Ornstein-Uhlenbeck process in the space…
Hydrodynamic limit for a zero-range process in the Sierpinski gasket
M. Jara
We prove that the hydrodynamic limit of a zero-range process evolving in graphs approximating the Sierpinski gasket is given by a nonlinear heat equation. We also prove existence a…
Hydrodynamic limit of particle systems with long jumps
M. Jara
We consider some interacting particle processes with long-range dynamics: the zero-range and exclusion processes with long jumps. We prove that the hydrodynamic limit of these proc…
Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
Milton Jara, Patricia Goncalves
We prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in the one-dimensional lattice with variable diffusion coe…