147 citations · 512 across the 39 of their papers we have counts for
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math.PR2008
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…
cond-mat.stat-mech2008★ 17 cited
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…
math.PR2008★ 1 cited
Collision probabilities in the rarefaction fan of asymmetric exclusion processes
Pablo A. Ferrari, Patricia Goncalves, James B. Martin
We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate and to the left at rate , interacting by…