Generalized Markov fields and Dirichlet forms
The author considers a generalized Gaussian random field on a topological space for which the random field is indexed by measures and its covariance function is given by a transient Dirichlet form. He shows that this random field has the Markov property if and only if the Dirichlet form has the local property, by using potential theoretical methods. A similar result is shown in \textit{E. B. Dynkin} [Bull. Am. Math. Soc., New Ser. 3, 975-999 (1980; Zbl 0519.60046)].
scientific article; zbMATH DE number 3944970
scientific article