Random Matrix Theory And Its Applications Multivariate Statistics And Wireless Communications

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Random Matrix Theory And Its Applications Multivariate Statistics And Wireless Communications
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Author : Zhidong Bai
language : en
Publisher: World Scientific
Release Date : 2009-07-27
Random Matrix Theory And Its Applications Multivariate Statistics And Wireless Communications written by Zhidong Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-27 with Mathematics categories.
Random matrix theory has a long history, beginning in the first instance in multivariate statistics. It was used by Wigner to supply explanations for the important regularity features of the apparently random dispositions of the energy levels of heavy nuclei. The subject was further deeply developed under the important leadership of Dyson, Gaudin and Mehta, and other mathematical physicists.In the early 1990s, random matrix theory witnessed applications in string theory and deep connections with operator theory, and the integrable systems were established by Tracy and Widom. More recently, the subject has seen applications in such diverse areas as large dimensional data analysis and wireless communications.This volume contains chapters written by the leading participants in the field which will serve as a valuable introduction into this very exciting area of research.
Random Matrix Theory And Wireless Communications
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Author : Antonia M. Tulino
language : en
Publisher: Now Publishers Inc
Release Date : 2004
Random Matrix Theory And Wireless Communications written by Antonia M. Tulino and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
Random Matrix Theory and Wireless Communications is the first tutorial on random matrices which provides an overview of the theory and brings together in one source the most significant results recently obtained.
Spectral Analysis Of Large Dimensional Random Matrices
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Author : Zhidong Bai
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-10
Spectral Analysis Of Large Dimensional Random Matrices written by Zhidong Bai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-10 with Mathematics categories.
The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science. The book introduces fundamental results, most of them investigated by the authors, such as the semicircular law of Wigner matrices, the Marcenko-Pastur law, the limiting spectral distribution of the multivariate F matrix, limits of extreme eigenvalues, spectrum separation theorems, convergence rates of empirical distributions, central limit theorems of linear spectral statistics, and the partial solution of the famous circular law. While deriving the main results, the book simultaneously emphasizes the ideas and methodologies of the fundamental mathematical tools, among them being: truncation techniques, matrix identities, moment convergence theorems, and the Stieltjes transform. Its treatment is especially fitting to the needs of mathematics and statistics graduate students and beginning researchers, having a basic knowledge of matrix theory and an understanding of probability theory at the graduate level, who desire to learn the concepts and tools in solving problems in this area. It can also serve as a detailed handbook on results of large dimensional random matrices for practical users. This second edition includes two additional chapters, one on the authors' results on the limiting behavior of eigenvectors of sample covariance matrices, another on applications to wireless communications and finance. While attempting to bring this edition up-to-date on recent work, it also provides summaries of other areas which are typically considered part of the general field of random matrix theory.
Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communications And Finance Statistics Random Matrix Theory And Its Applications
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Author : Zhaoben Fang
language : en
Publisher: World Scientific
Release Date : 2014-01-24
Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communications And Finance Statistics Random Matrix Theory And Its Applications written by Zhaoben Fang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-24 with Mathematics categories.
The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and Applications to finance. In the first part, we introduce some basic theorems of spectral analysis of large dimensional random matrices that are obtained under finite moment conditions, such as the limiting spectral distributions of Wigner matrix and that of large dimensional sample covariance matrix, limits of extreme eigenvalues, and the central limit theorems for linear spectral statistics. In the second part, we introduce some basic examples of applications of random matrix theory to wireless communications and in the third part, we present some examples of Applications to statistical finance.
The Oxford Handbook Of Random Matrix Theory
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Author : Gernot Akemann
language : en
Publisher: Oxford Handbooks
Release Date : 2015-08-09
The Oxford Handbook Of Random Matrix Theory written by Gernot Akemann and has been published by Oxford Handbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-09 with Mathematics categories.
With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach.In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry.
Multiscale Modeling And Analysis For Materials Simulation
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Author : Weizhu Bao
language : en
Publisher: World Scientific
Release Date : 2012
Multiscale Modeling And Analysis For Materials Simulation written by Weizhu Bao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on OC Mathematical Theory and Numerical Methods for Computational Materials Simulation and DesignOCO from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.
Complex Quantum Systems Analysis Of Large Coulomb Systems
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Author : Heinz Siedentop
language : en
Publisher: World Scientific
Release Date : 2013-05-20
Complex Quantum Systems Analysis Of Large Coulomb Systems written by Heinz Siedentop and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Science categories.
This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.
Three Plays Of Maureen Hunter
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Author : Hunter, Maureen
language : en
Publisher: OIBooks-Libros
Release Date : 2003
Three Plays Of Maureen Hunter written by Hunter, Maureen and has been published by OIBooks-Libros this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Drama categories.
Book is clean and tight. No writing in text. Like New
Environmental Hazards The Fluid Dynamics And Geophysics Of Extreme Events
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Author : H Keith Moffatt
language : en
Publisher: World Scientific
Release Date : 2011-07-13
Environmental Hazards The Fluid Dynamics And Geophysics Of Extreme Events written by H Keith Moffatt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-13 with Technology & Engineering categories.
The Institute for Mathematical Sciences at the National University of Singapore hosted a Spring School on Fluid Dynamics and Geophysics of Environmental Hazards from 19 April to 2 May 2009. This volume contains the content of the nine short lecture courses given at this School, with a focus mainly on tropical cyclones, tsunamis, monsoon flooding and atmospheric pollution, all within the context of climate variability and change.The book provides an introduction to these topics from both mathematical and geophysical points of view, and will be invaluable for graduate students in applied mathematics, geophysics and engineering with an interest in this broad field of study, as well as for seasoned researchers in adjacent fields.
Geometry Topology And Dynamics Of Character Varieties
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Author : William Goldman
language : en
Publisher: World Scientific
Release Date : 2012
Geometry Topology And Dynamics Of Character Varieties written by William Goldman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the Western world - as the most reliable way of knowing. The book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the Vikings and the Chinese, and of the unknown interiors of the American and African continents by foot and horseback. After the invention of the telescope, visual exploration of the surfaces of the Moon and Mars were made possible, and finally a visit to the Moon. The book then turns to our legacy from the ancient Greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. For concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. Finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.