Details

Autor(en) / Beteiligte

• da Silva, José
• Kondratiev, Yuri
• Röckner, Michael

Titel

On a Relation between Intrinsic and Extrinsic Dirichlet Forms for Interacting Particle Systems

Ist Teil von

• Mathematische Nachrichten, 2001-02, Vol.222 (1), p.141-157

Ort / Verlag

Berlin: WILEY-VCH Verlag Berlin GmbH

Erscheinungsjahr

2001

Link zum Volltext

Quelle

Wiley Online Library

Beschreibungen/Notizen

• In this paper we extend the result obtained in [AKR98] (see also [AKR96a]) on the representation of the intrinsic pre–Dirichlet form ℰΓ π σ of the Poisson measure πσ in terms of the extrinsic one ℰP π σ, H X σ. More precisely, replacing πσ by a Gibbs measure μ on the configuration space ΓX we derive a relation between the intrinsic prend–Dirichlet form ℰΓμ of the measure μ and the extrinsic one ℰP μ, H X σ. As a consequence we prove the closability of ℰΓμ on L2(ΓX, μ) under very general assumptions on the interaction potential of the Gibbs measures μ.