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Eigenvalues, Inequalities, and Ergodic Theory Mu-Fa Chen

Eigenvalues, Inequalities, and Ergodic Theory By Mu-Fa Chen

Eigenvalues, Inequalities, and Ergodic Theory by Mu-Fa Chen


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Summary

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

Eigenvalues, Inequalities, and Ergodic Theory Summary

Eigenvalues, Inequalities, and Ergodic Theory by Mu-Fa Chen

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

Eigenvalues, Inequalities, and Ergodic Theory Reviews

From the reviews of the first edition:

The estimation of the spectral gap for matrices or differential operators (Markov chain or diffusions) - is covered in this book, and the book surveys, in popular way, the main progress made in the field. ... Each chapter starts with a summary, and ideas are introduced through simple examples rather than technical proofs, which is one of the advantages of the book ... . The book may be useful for researchers, graduates and postgraduates in probability theory, Markov processes, mathematical physics and spectrum theory. (Anatoliy Swishchuk, Zentralblatt MATH, Vol. 1079, 2006)

The main topics of this book, as indicated in the title, are eigenvalues, inequalities, and ergodic theory. ... Chen is an experienced researcher who has won prizes in China and spoken at the International Congress of Math, and he is an extensive writer of lecture notes. ... The math is clearly explained and the book is pleasant to read. ... it deserves a place on your bookshelf. (Rick Durrett, SIAM Review, Vol. 48 (1), 2006)

About Mu-Fa Chen

Mu-Fa Chen is Professor of Mathematics at Beijing Normal University, in the People's Republic of China, and Member of the Chinese Academy of Sciences. In 1999 he received a Prize for Progress on Sciences and Technology from the Ministry of Education and a National Prize on Natural Sciences from the Ministry of Science and Technology in the People's Republic of China.

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.- Poincare-Type Inequalities in Dimension One.- Functional Inequalities.- A Diagram of Nine Types of Ergodicity.- Reaction-Diffusion Processes.- Stochastic Models of Economic Optimization.

Additional information

NLS9781849969383
9781849969383
1849969388
Eigenvalues, Inequalities, and Ergodic Theory by Mu-Fa Chen
New
Paperback
Springer London Ltd
2010-10-21
228
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Eigenvalues, Inequalities, and Ergodic Theory