Functional Inequalities Markov Semigroups and Spectral Theory

Functional Inequalities Markov Semigroups and Spectral Theory

1st Edition - February 24, 2006

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  • Author: Fengyu Wang
  • eBook ISBN: 9780080532073

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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.


mathematicians, libraries, departments of mathematics

Table of Contents

  • 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



Product details

  • No. of pages: 379
  • Language: English
  • Copyright: © Elsevier Science 2006
  • Published: February 24, 2006
  • Imprint: Elsevier Science
  • eBook ISBN: 9780080532073

About the Author

Fengyu Wang

Affiliations and Expertise

School of Mathematical Sciences, Beijing Normal University

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