Eigenvalues, inequalities, and ergodic theory

書誌事項

Eigenvalues, inequalities, and ergodic theory

Mu-Fa Chen

(Probability and its applications)

Springer, c2010

  • : pbk

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注記

Includes bibliographical references(p.[209]-222) and indexes

内容説明・目次

内容説明

The first and only book to make this research available in the West Concise and accessible: proofs and other technical matters are kept to a minimum to help the non-specialist Each chapter is self-contained to make the book easy-to-use

目次

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.

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