Eigenvalues, inequalities, and ergodic theory /

Eigenvalues, inequalities, and ergodic theory /

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Bibliographic Details
Author / Creator:	Chen, Mufa.
Imprint:	London : Springer, c2005.
Description:	1 online resource (xiii, 228 p.) : ill.
Language:	English
Series:	Probability and its applications Probability and its applications (Springer-Verlag)
Subject:	Eigenvalues. Inequalities (Mathematics) Ergodic theory. Eigenvalues. Ergodic theory. Inequalities (Mathematics)
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8874555

Hidden Bibliographic Details
ISBN:	1852338687 (alk. paper) 9781852338688 (alk. paper) 1846281237 (electronic bk.) 9781846281235 (electronic bk.) 9786610308408 6610308403
Notes:	Includes bibliographical references (p. [209]-222) and indexes.
Summary:	"Eigenvalues, Inequalities, and Ergodic Theory serves as an introduction to this developing field and provides an overview of the methods used in an accessible and concise manner. The author starts with an overview chapter from which any of the following self contained chapters can be read." "Intended for researchers, graduates, and postgraduates in probability theory, Markov processes, mathematical physics, and spectrum theory, this book will be a welcome introduction to a growing area of research."--Jacket.
Other form:	Print version: Chen, Mufa. Eigenvalues, inequalities, and ergodic theory. London : Springer, c2005 1852338687

Table of Contents:

Preface
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
Poincare-type Inequalities in Dimension One
Functional Inequalities
A Diagram of Nine Types of Ergodicity
Reaction-Diffusion Processes
Stochastic Models of Economic Optimization
Appendix A. Some Elementary Lemmas
Appendix B. Examples of Ising Model on Two-Four Sites
References
Author Index
Subject Index