Functional Inequalities Markov Semigroups and Spectral Theory
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
| Author: | Fengyu Wang | ISBN: | 9780080532073 |
| Publisher: | Elsevier Science | Publication: | April 6, 2006 |
| Imprint: | Elsevier Science | Language: | English |
| Author: | Fengyu Wang |
| ISBN: | 9780080532073 |
| Publisher: | Elsevier Science |
| Publication: | April 6, 2006 |
| Imprint: | Elsevier Science |
| 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.
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.
