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Eigenvalues, Inequalities, and Ergodic Theory

A problem of broad interest - the estimation of the spectral gap for matrices or differential operators (Markov chains or diffusions) - is covered in this book. The area has a wide range of applications, and provides a tool to describe the phase transitions and the effectiveness of random algorithms...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chen, Mu-Fa (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Probability and Its Applications
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • An Overview of the Book
  • Optimal Markovian Couplings
  • New Variational Formulas for the First Eigenvalue
  • Generalized Cheeger's Method
  • Ten Explicit Criteria in Dimension One
  • Poincaré-Type Inequalities in Dimension One
  • Functional Inequalities
  • A Diagram of Nine Types of Ergodicity
  • Reaction-Diffusion Processes
  • Stochastic Models of Economic Optimization.