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A stochastic Burgers equation from a class of microscopic interactions
Gonçalves, Patrícia; Jara, Milton; Sethuraman, SunderDocumento submetido para revisão pelos pares. A publicar em Annals of Probability. ISSN 0091-1798 ; We consider a class of nearest-neighbor weakly asymmetric mass conservative particle systems evolving on $\mathbb{Z}$, which includes zero-range and types of exclusion processes, starting from a perturbation of a stationary state. When the weak asymmetry is of order $O(n^\gamma)$ for $1/2<\gamma\leq 1$, we show...
Equilibrium fluctuations of additive functionals of zero-range models
Bernardin, Cédric; Gonçalves, Patrícia; Sethuraman, SunderFor mean-zero and asymmetric zero-range processes on $\Z^d$, the fluctuations of additive functionals starting from an invariant measure are considered. Under certain assumptions, we establish when the fluctuations are diffusive and satisfy functional central limit theorems. These results complement those for symmetric zero-range systems and also those for simple exclusion models already in the literature.
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