Markov Processes with Many Locally Interacting Components – the Reversible Case and Some Generalizations

We continue the investigation of the class of Markov processes introduced in [R. L. Dobrushin, Probl. Peredachi Inf., 1971, vol. 7, no. 2, pp. 70–87]. It is shown that a time reversible stationary process has the Gibbs distribution as its stationary distribution. The possibility of extending the class of processes introduced in the paper cited is mentioned.