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- W2952647985 abstract "In this paper we extend the result obtained in cite{AKR97} (see also cite {AKR96}) on the representation of the intrinsic pre- Dirichlet form $mathcal{E}_{pi_{sigma}}^{Gamma}$ of the Poisson measure $pi_{sigma}$ in terms of the extrinsic one $mathcal{E}_{pi_{sigma},H_{sigma}^{X}}^{P}$. More precisely, replacing $pi_{sigma}$ by a Gibbs measure $mu$ on the configuration space $Gamma_{X}$ we derive a relation between the intrinsic pre-Dirichlet form $mathcal{E}_{mu}^{Gamma}$ of the measure $mu$ and the extrinsic one $mathcal{E}_{mu, H_{sigma}^{X}}^{P}$. As a consequence we prove the closability of $mathcal{E}_{mu}^{Gamma}$ on $L^{2}(Gamma_{X},mu)$ under very general assumptions on the interaction potential of the Gibbs measures $mu$." @default.
- W2952647985 created "2019-06-27" @default.
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- W2952647985 date "1999-08-12" @default.
- W2952647985 modified "2023-09-27" @default.
- W2952647985 title "On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems" @default.
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