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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Chen, Mu-Fa (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Probability and Its Applications
Subjects:
Probabilities.
Probability Theory.
Online Access:Texto Completo
Table of Contents:
  • 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.

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