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A-priori estimates and existence of Gibbs measures: a simplified proof

✍ Scribed by Sergio Albeverio; Yuri G. Kondratiev; Michael Röckner; Tatiana V. Tsikalenko

Book ID
104345334
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
423 KB
Volume
328
Category
Article
ISSN
0764-4442

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✦ Synopsis

RCsumC.

We prove existence and uniform a-priori estimates for Gibbs states of certain classical lattice systems with unbounded spins and n-particle interactions. We use a characterization of Gibbs measures in terms of their Radon-Nikodym derivatives w.r.t. local shifts of the configuration space and the corresponding integration by parts formula. Detailed proofs are contained in [3]. 0 Academic des Sciences/Elsevier, Paris

📜 SIMILAR VOLUMES

A Priori Estimates for Symmetrizing Meas
A Priori Estimates for Symmetrizing Measures and Their Applications to Gibbs States
✍ S. Albeverio; Yu.G. Kondratiev; M. Röckner; T.V. Tsikalenko 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 245 KB

We prove existence and uniform a priori estimates for tempered Gibbs states of certain classical lattice systems with unbounded spins, nonharmonic pair potentials, and infinite radius of interaction. We use an alternative characterization of Gibbs measures in terms of their Radon Nikodym derivatives