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Functional inequalities, Markov semi...
~
Wang, Feng-Yu.
Functional inequalities, Markov semigroups and spectral theory
紀錄類型:
書目-電子資源 : 單行本
正題名/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) -
電子資源:
An electronic book accessible through the World Wide Web; click for information
ISBN:
9780080449425
Functional inequalities, Markov semigroups and spectral theory
Wang, Feng-Yu.
Functional inequalities, Markov semigroups and spectral theory
[electronic resource]. - Beijing ;Science Press,c2005 - p.cm.
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<P>.
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.
Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.
Mode of access: World Wide Web.
ISBN: 9780080449425
Source: 131894:132001Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:
134665
Inequalities (Mathematics)
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA295 / .W36 2005
Dewey Class. No.: 515/.26
Functional inequalities, Markov semigroups and spectral theory
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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<P>.
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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.
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