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Weak Poincaré Inequalities, Decay of Markov Semigroups and Concentration of Measures

✍ Scribed by Feng Yu Wang; Qi Zhi Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
154 KB
Volume
21
Category
Article
ISSN
1439-7617

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Weak Poincaré Inequalities and L2-Conver
✍ Michael Röckner; Feng-Yu Wang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 293 KB

In order to describe L 2 -convergence rates slower than exponential, the weak Poincare inequality is introduced. It is shown that the convergence rate of a Markov semigroup and the corresponding weak Poincare inequality can be determined by each other. Conditions for the weak Poincare inequality to