Functional Inequalities Markov Semigroups and Spectral Theory

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  • Functional Inequalities Markov Semigroups and Spectral Theory Book Detail

  • Author : Fengyu Wang
  • Release Date : 2006-04-06
  • Publisher : Elsevier
  • Genre : Mathematics
  • Pages : 391
  • ISBN 13 : 0080532071
  • File Size : 6,6 MB

Functional Inequalities Markov Semigroups and Spectral Theory by Fengyu Wang PDF Summary

Book 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.

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