Functional Inequalities Markov Semigroups and Spectral Theory

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Functional Inequalities Markov Semigroups and Spectral Theory

By Wang, Fengyu

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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.

Subject: Mathematics & Statistics -> Mathematics -> Mathematics General

Functional Inequalities Markov Semigroups and Spectral Theory
Publisher: Elsevier S & T 04/2006
Imprint: Elsevier Science
Language: English
Length: 379 pages

ISBN 10: 0080449425
ISBN 13: 9780080449425
Print ISBN: 9780080449425

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