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Functional Inequalities Markov Semigroups and Spectral Theory

1st Edition - February 24, 2006

Author: Fengyu Wang

eBook ISBN:

9 7 8 - 0 - 0 8 - 0 5 3 2 0 7 - 3

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… Read more

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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.