Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\)
type: Item
instance of: scholarly article
title: Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\)
zbMATH Open document ID: 0754.60127
DOI: 10.1016/0304-4149(92)90024-K
published in: Stochastic Processes and their Applications
publication date: 1992-09-27T00:00:00Z
review text: The fluctuation field of the symmetric simple exclusion on \(\mathbb{Z}^ d\) is shown to converge to a generalized Ornstein-Uhlenbeck process in the hydrodynamic limit. The results are obtained using the martingale characterization of Holley and Stroock and estimates of the two point correlation functions.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 64563
zbMATH Keywords: simple exclusion process
zbMATH Keywords: generalized Ornstein-Uhlenbeck process
zbMATH Keywords: hydrodynamic limit
zbMATH Keywords: martingale characterization
author: Krishnamurthi Ravishankar
MaRDI profile type: Publication
cites work: Q3683708
cites work: Q5185817
cites work: Tightness of probabilities on C([0,1];\(S_ p\)) and D([0,1];\(S_ p\))
cites work: Q3875025
description: scientific article; zbMATH DE number 64563