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Quasi-stationary measures for conservative dynamics in the infinite lattice. (English) Zbl 1018.60092

The authors establish existence and qualitative properties of quasi-stationary measures for a class of conservative particle systems in a \(d\)-dimensional lattice. Their approach is based on showing that any limit point of certain Cesaro’s means is quasi-stationary provided reversibility of the initial condition.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
82C22 Interacting particle systems in time-dependent statistical mechanics
60J25 Continuous-time Markov processes on general state spaces
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