Ofer Zeitouni's Books

An Introduction to Random Matrices

By: Greg W. Anderson,Alice Guionnet,Ofer Zeitouni

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An Introduction to Random Matrices

By: Greg W. Anderson,Alice Guionnet,Ofer Zeitouni

A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.

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Page Count

507

Publisher

Cambridge University Press

Published Date

ISBN 10

0521194520

ISBN 13

9780521194525

Large Deviations Techniques and Applications

By: Amir Dembo,Ofer Zeitouni

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Large Deviations Techniques and Applications

By: Amir Dembo,Ofer Zeitouni

Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers in the field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences. The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft cover edition is a corrected printing of the 1998 edition.

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Page Count

409

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642033113

ISBN 13

9783642033117

Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001

By: Simon Tavaré,Ofer Zeitouni

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Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001

By: Simon Tavaré,Ofer Zeitouni

This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001). Simon Tavaré’s lectures serve as an introduction to the coalescent, and to inference for ancestral processes in population genetics. The stochastic computation methods described include rejection methods, importance sampling, Markov chain Monte Carlo, and approximate Bayesian methods. Ofer Zeitouni’s course on "Random Walks in Random Environment" presents systematically the tools that have been introduced to study the model. A fairly complete description of available results in dimension 1 is given. For higher dimension, the basic techniques and a discussion of some of the available results are provided. The contribution also includes an updated annotated bibliography and suggestions for further reading. Olivier Catoni's course appears separately.

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