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Conservative Action of Kleinian Groups with Respect to the Patterson-Sullivan Measure

✍ Scribed by Katsuhiko Matsuzaki


Book ID
120888933
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
246 KB
Volume
2
Category
Article
ISSN
1617-9447

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Ergodicity of canonical Gibbs measures w
✍ 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