Interacting Markov Processes
Interacting Markov processes are obtained by superimposing some type of interaction on many otherwise independent Markovian subsystems. As a result of the interaction, the subsystems fail to have the Markov property; the system as a whole remains Markovian, however. This subject has grown rapidly during the past decade. It is a branch of modern probability theory, but it draws much of its inspiration and motivation from various areas of science, including physics and biology.
KeywordsInvariant Measure Ergodic Theorem Exclusion Process Infinite System Duality Relation
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