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Cover image for book Functional Inequalities Markov Semigroups and Spectral Theory

Functional Inequalities Markov Semigroups and Spectral Theory

By:Wang, Fengyu
Publisher:Elsevier S & T
Print ISBN:9780080449425
eText ISBN:9780080532073
Edition:0
Format:Page Fidelity

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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.

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