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Symmetric Skorohod topology on \(n\)-variable functions and hierarchical Markov properties of \(n\)-parameter processes. (English) Zbl 0833.60074

A type of Skorokhod topology is defined for functions of several variables. Using this the notion of complete symmetric Markov processes is introduced. For such processes certain additive functionals are continuous.

MSC:

60J25 Continuous-time Markov processes on general state spaces
60J45 Probabilistic potential theory
31C15 Potentials and capacities on other spaces
60J99 Markov processes
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