Functional inequalities Markov semigroup
β Fengyu Wang
π Library
π
2006
π Elsevier Science
π English
β¦ LIBER β¦
π
Functional inequalities, Markov semigroups and spectral theory
β Scribed by Fengyu Wang
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Leaves
- 390
- Series
- The Science Series of the Contemporary Elite Youth
- Edition
- 1
- Category
- Library
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β¦ Synopsis
In this book, the functional inequalities are introduced to describe: (i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap; (ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density; (iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.
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