Equilibrium fluctuations of additive functionals of zero-range models

• Author(s): Bernardin, Cédric ; Gonçalves, Patrícia ; Sethuraman, Sunder
• Date: 2012
• Persistent ID: http://hdl.handle.net/1822/25236
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Zero-range; Additive functionals
• Document Type: Conference Object
• Language: English

Description

For 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.