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  • 1
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 337/.01/5195 ; LC HD2963 ; Competition, International - Mathematical models ; Competition - Mathematical models ; Cooperation - Mathematical models ; International cooperation - Mathematical models ; International economic relations - Mathematical models
    Description / Table of Contents: 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.
    Pages: Online-Ressource (i-iii, 379 pages)
    ISBN: 9780080449425
    Language: English
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 101 (1995), S. 363-369 
    ISSN: 1432-2064
    Keywords: 35P15 ; 58C50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In this note, we adopt a probabilistic method for estimating the first Dirichlet eigenvalue. The results improve or contain some known ones, especially for large dimension. Moreover, our estimates are sharp for some typical cases.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 98 (1994), S. 299-306 
    ISSN: 1432-2064
    Keywords: 58G32 ; 58C50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary By using coupling methods, some lower bounds are obtained for the first Neumann eigenvalue on Riemannian manifolds. This method is new and the results improve some known estimates. An example shows that our estimates can be sharp.
    Type of Medium: Electronic Resource
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