Sumamry
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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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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DOI: https://doi.org/10.1007/BF01213687
Mathematics Subject Classification
- 60K35