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.
- ISBN13 9780080449425
- Publish Date 6 April 2006 (first published 1 January 2005)
- Publish Status Withdrawn
- Out of Print 6 November 2009
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint Elsevier Science Ltd
- Format Hardcover
- Pages 379
- Language English