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"Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in R^d",

Probab. Theory Related Field 109(1997), no.2, pp.275-299.

Dirichlet forms associated with systems of infinitely many Brownian balls in R^d are studied. Introducing a linear operator L_0 defined on a space of smooth local functions, we show the uniqueness of Dirichlet forms associated with self adjoint Markovian extensions of L_0. We also discuss the ergodicity of the reversible process associated with the Dirichlet form.