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Discrete isoperimetric and Poincaré-type inequalities

✍ Scribed by S. G. Bobkov; F. Götze


Publisher
Springer
Year
1999
Tongue
English
Weight
199 KB
Volume
114
Category
Article
ISSN
1432-2064

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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,