Open Access
October 2001 Quasi-Stationary measures for conservative dynamics in the infinite lattice
Amine Asselah, Paolo Dai Pra
Ann. Probab. 29(4): 1733-1754 (October 2001). DOI: 10.1214/aop/1015345770


We study quasi-stationary measures for conservative particle systems in the in finite lattice. Existence of quasi-stationary measures is established for a fairly general class of reversible systems. For the special cases of a system of independent random walks and the symmetric simple exclusion process, it is shown that qualitative features of quasi-stationary measures change drastically with dimension.


Download Citation

Amine Asselah. Paolo Dai Pra. "Quasi-Stationary measures for conservative dynamics in the infinite lattice." Ann. Probab. 29 (4) 1733 - 1754, October 2001.


Published: October 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1018.60092
MathSciNet: MR1880240
Digital Object Identifier: 10.1214/aop/1015345770

Primary: 60J25 , 60K35 , 82C22

Keywords: interacting particle systems , Quasi-stationary measures

Rights: Copyright © 2001 Institute of Mathematical Statistics

Vol.29 • No. 4 • October 2001
Back to Top