We study quasi-stationary measures for conservative particle systems in the infinite 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.
Quasi-stationary measures for conservative dynamics in the infinite lattice
DAI PRA, PAOLO
2001
Abstract
We study quasi-stationary measures for conservative particle systems in the infinite 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.
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