Functional inequalities, Markov semi...
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  • Functional inequalities, Markov semigroups and spectral theory[electronic resource].
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 515/.26
    書名/作者: Functional inequalities, Markov semigroups and spectral theory
    作者: Wang, Feng-Yu.
    出版者: Beijing ; : Science Press,, c2005
    面頁冊數: p.; cm.
    標題: Inequalities (Mathematics)
    標題: Semigroups.
    標題: Markov processes.
    標題: Spectral theory (Mathematics)
    ISBN: 9780080449425
    ISBN: 0080449425
    內容註: Chapter 0: Preliminaries -- -- Chapter 1 Poin�cre 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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    摘要、提要註: 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.
    電子資源: An electronic book accessible through the World Wide Web; click for information
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