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New Poincaré-type inequalities

✍ Scribed by Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard


Book ID
121424897
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
285 KB
Volume
352
Category
Article
ISSN
1631-073X

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📜 SIMILAR VOLUMES


Martingales, Poincaré Type Inequalities,
✍ Michael Schmuckenschläger 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 354 KB

Using martingale techniques we will prove several deviation inequalities for diffusion processes in a compact Riemannian manifold and Le vy processes in euclidean space. We also deduce deviation inequalities from Poincare type inequalities in the abstract setting of Dirichlet forms. We thus obtain,