The Annals of Probability

Quasi-Stationary measures for conservative dynamics in the infinite lattice

Amine Asselah and Paolo Dai Pra

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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.

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Ann. Probab., Volume 29, Number 4 (2001), 1733-1754.

First available in Project Euclid: 5 March 2002

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Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82C22: Interacting particle systems [See also 60K35] 60J25: Continuous-time Markov processes on general state spaces

Quasi-stationary measures interacting particle systems


Asselah, Amine; Dai Pra, Paolo. Quasi-Stationary measures for conservative dynamics in the infinite lattice. Ann. Probab. 29 (2001), no. 4, 1733--1754. doi:10.1214/aop/1015345770.

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