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Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in ℝd
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  • Published: October 1997

Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in ℝd

  • Hideki Tanemura1 

Probability Theory and Related Fields volume 109, pages 275–299 (1997)Cite this article

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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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  1. Department of Mathematics and Informatics, Chiba University 1-33 Yayoi-cho, Inage-ku, Chiba 263, Japan, , , , , , JP

    Hideki Tanemura

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  1. Hideki Tanemura
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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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  • Issue Date: October 1997

  • DOI: https://doi.org/10.1007/s004400050133

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  • AMS Subject Classification (1991): 60K35
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