Summary.
Dirichlet forms associated with systems of infinitely many Brownian balls in ℝd 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.
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Received: 18 July 1996/In revised form: 13 February 1997
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Tanemura, H. Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in ℝd . Probab Theory Relat Fields 109, 275–299 (1997). https://doi.org/10.1007/s004400050133
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DOI: https://doi.org/10.1007/s004400050133
- AMS Subject Classification (1991): 60K35