On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems (Q2711601)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems |
scientific article |
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14 November 2001
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Dirichlet form
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configuration space
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Gibbs process
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On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems (English)
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The authors continue their development of stochastic analysis on configuration spaces [see \textit{S. Albeverio, Yu. G. Kondratiev} and \textit{M. Röckner}, J. Funct. Anal. 154, 444-500 (1998; Zbl 0914.58028)]. This paper aims to extend results relating to intrinsic and extrinsic Dirichlet forms for Poisson measures to Gibbs measures. As a consequence, the authors deduce the closability of the intrinsic pre-Dirichlet form under very general assumptions on the interaction potential of the Gibbs measure.
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