Functional Inequalities Markov Semigroups and Spectral Theory
ISBN: 9780080532073
Platform/Publisher: Ebook Central / Elsevier Science & Technology
Digital rights: Users: Unlimited; Printing: Limited; Download: 7 Days at a Time
Subjects: Mathematics;

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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