## 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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### References:

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