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Functional Inequalities Markov Semigroups and Spectral Theory

Posted on 2010-03-18




Name:Functional Inequalities Markov Semigroups and Spectral Theory
ASIN/ISBN:0080449425
Language:English
File size:13.9 Mb
Publish Date: 2006
ISBN: 0080449425
Pages: 379 pages
File Type: PDF
File Size: 13,9 MB
Other Info: Elsevier Science
   Functional Inequalities Markov Semigroups and Spectral Theory

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Fengyu Wang, ""

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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