Scaling limits of additive functionals of interacting particle systems

• Author(s): Gonçalves, Patrícia ; Jara, Milton
• Date: 2013
• Persistent ID: http://hdl.handle.net/1822/19783
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): KPZ equation; Additive functionals; Exclusion process; Ornstein-Uhlenbeck process; Density fluctuations; Occupation times
• Document Type: Article
• Language: English

Description

Em publicação Using the renormalization method introduced in [arXiv:1003.4478v1], we prove what we call the local Boltzmann-Gibbs principle for conservative, stationary interacting particle systems in dimension d=1. As applications of this result, we obtain various scaling limits of additive functionals of particle systems, like the occupation time of a given site or extensive additive fields of the dynamics. As a by-product of these results, we also construct a novel process, related to the stationary solution of the stochastic Burgers equation.