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Eigenvalues, Inequalities, and Ergodic Theory

Mu-Fa Chen
Publisher: 
Springer Verlag
Publication Date: 
2005
Number of Pages: 
228
Format: 
Hardcover
Series: 
Probability and Its Applications
Price: 
89.95
ISBN: 
1-85233-868-7
Category: 
Monograph
We do not plan to review this book.
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.- Poincar‚-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.