An elementary proof of an existence theorem for infinite particle systems interacting through a finite range interaction is given. The results are then used to prove that the system preserves ergodicity of the initial measure.
"Markovian Interaction Processes with Finite Range Interactions." Ann. Math. Statist. 43 (6) 1961 - 1967, December, 1972. https://doi.org/10.1214/aoms/1177690867