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Comparison of Finite Volume Canonical and Grand Canonical Gibbs Measures: The Continuous Case

✍ Scribed by Nicoletta Cancrini; Christel Tremoulet

Publisher
Springer
Year
2004
Tongue
English
Weight
178 KB
Volume
117
Category
Article
ISSN
0022-4715

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Ergodicity of canonical Gibbs measures w
Ergodicity of canonical Gibbs measures with respect to the diffeomorphism group
✍ Tobias Kuna; José Luis Silva 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB

## Abstract For general potentials we prove that every canonical Gibbs measure on configurations over a manifold __X__ is quasi‐invariant w.r.t. the group of diffeomorphisms on __X__. We show that this quasi‐invariance property also characterizes the class of canonical Gibbs measures. From this we