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A system of infinitely many mutually reffecting Brownian balls in ℝd
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  • Published: September 1996

A system of infinitely many mutually reffecting Brownian balls in ℝd

  • Hideki Tanemura1 

Probability Theory and Related Fields volume 104, pages 399–426 (1996)Cite this article

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  • 25 Citations

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An infinite system of Skorohod type equations is studied. The unique solution of the system is obtained from a finite case by passing to the limit. It is a diffusion process describing a system of infinitely many Brownian hard balls and has a Gibbs state associated with the hard core pair potential as a reversible measure.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik der Universität Zürich Irchel, Winterthurerstrasse 190, CH-8057, Zürich, Switzerland

    Hideki Tanemura

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  1. Hideki Tanemura
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Additional information

On leave of, Department of Mathematics and Informatics, Faculty of Science Chiba University Chiba, 263 Japan

Supported by Swiss National Foundation, contract Nr. 20-36305.92

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Tanemura, H. A system of infinitely many mutually reffecting Brownian balls in ℝd . Probab. Th. Rel. Fields 104, 399–426 (1996). https://doi.org/10.1007/BF01213687

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  • Received: 24 October 1994

  • Revised: 18 July 1995

  • Issue Date: September 1996

  • DOI: https://doi.org/10.1007/BF01213687

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