Scaling limits of additive functionals of interacting particle systems

• Autor(es): Gonçalves, Patrícia ; Jara, Milton
• Data: 2013
• Identificador Persistente: http://hdl.handle.net/1822/19783
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): KPZ equation; Additive functionals; Exclusion process; Ornstein-Uhlenbeck process; Density fluctuations; Occupation times
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.