Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/24264

 Título: A stochastic Burgers equation from a class of microscopic interactions Autor(es): Gonçalves, PatríciaJara, MiltonSethuraman, Sunder Palavras-chave: KPZ equationBurgersWeakly asymmetricZero-rangeKinetically constrainedEquilibrium fluctuationsSpeed-changeFluctuationsweakly asymetric Data: 2015 Editora: IMS Revista: The Annals of Probability Citação: Gonçalves, P., Jara, M., & Sethuraman, S. (2015). A stochastic burgers equation from a class of microscopic interactions. Annals of Probability, 43(1), 286-338. doi: 10.1214/13-aop878 Resumo(s): 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 that the scaling limit of the fluctuation field, as seen across process characteristics, is a generalized Ornstein-Uhlenbeck process. However, at the critical weak asymmetry when $\gamma = 1/2$, we show that all limit points solve a martingale problem which may be interpreted in terms of a stochastic Burgers equation derived from taking the gradient of the KPZ equation. The proofs make use of a sharp `Boltzmann-Gibbs' estimate which improves on earlier bounds. Tipo: article URI: http://hdl.handle.net/1822/24264 DOI: 10.1214/13-aop878 ISSN: 0091-1798 Versão da editora: http://www.imstat.org/aop/ Arbitragem científica: yes Acesso: openAccess Aparece nas coleções: CMAT - Artigos com arbitragem/Papers with refereeing

Ficheiros deste registo:
Ficheiro Descrição TamanhoFormato