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Coupling, convergence rates of Markov processes and weak Poincaré inequalities

✍ Scribed by Fengyu Wang


Publisher
SP Science China Press
Year
2002
Tongue
English
Weight
193 KB
Volume
45
Category
Article
ISSN
1674-7283

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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