Markov Processes with a Large Number of Locally Interacting Components -- The Existence of a Limit Process and Its Ergodicity,
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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Continuous-time Markov processes whose phase space elements comprise a set of a large number of locally interacting components are examined. These components are assumed to be in one-to-one correspondence with the points of a discrete lattice in space. These processes are investigated via a transition to the limit case when the number of components is infinite.
- Statistics and Probability