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Functional Inequalities Markov Semigroups and Spectral Theory
 
 

Functional Inequalities Markov Semigroups and Spectral Theory, 1st Edition

 
Functional Inequalities Markov Semigroups and Spectral Theory, 1st Edition,Fengyu Wang,ISBN9780080532073
 
 
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Elsevier Science

9780080532073

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Description

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.

Readership

mathematicians, libraries, departments of mathematics

Fengyu Wang

Affiliations and Expertise

School of Mathematical Sciences, Beijing Normal University

Functional Inequalities Markov Semigroups and Spectral Theory, 1st Edition

Chapter 0: Preliminaries

Chapter 1 Poincáre Inequality and Spectral Gap

Chapter 2 Diffusion Processes on Manifolds and Applications

Chapter 3 Functional Inequalities and Essential Spectrum

Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups
Chapter 5 Log-Sobolev Inequalities and Semigroup Properties

Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities

Chapter 7 Some Infinite Dimensional Models

Bibliography

Index

 
 
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