Functional Inequalities Markov Semigroups and Spectral Theory

Science and Technics

Fengyu Wang

Book Details

Format: EPUB

File size: 8.7 MB

Protection: DRM

Language: English

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.