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Multi-scale Analysis for Random Quantum Systems with Interaction (Hardcover, 2014 ed.): Victor Chulaevsky, Yuri Suhov Multi-scale Analysis for Random Quantum Systems with Interaction (Hardcover, 2014 ed.)
Victor Chulaevsky, Yuri Suhov
R3,216 Discovery Miles 32 160 Ships in 12 - 19 working days

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: an introduction to the state-of-the-art single-particle localization theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.

Multi-scale Analysis for Random Quantum Systems with Interaction (Paperback, Softcover reprint of the original 1st ed. 2014):... Multi-scale Analysis for Random Quantum Systems with Interaction (Paperback, Softcover reprint of the original 1st ed. 2014)
Victor Chulaevsky, Yuri Suhov
R2,562 Discovery Miles 25 620 Ships in 10 - 15 working days

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: an introduction to the state-of-the-art single-particle localization theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.

Information Theory and Coding by Example (Hardcover, New): Mark Kelbert, Yuri Suhov Information Theory and Coding by Example (Hardcover, New)
Mark Kelbert, Yuri Suhov
R4,360 Discovery Miles 43 600 Ships in 12 - 19 working days

This fundamental monograph introduces both the probabilistic and algebraic aspects of information theory and coding. It has evolved from the authors' years of experience teaching at the undergraduate level, including several Cambridge Maths Tripos courses. The book provides relevant background material, a wide range of worked examples and clear solutions to problems from real exam papers. It is a valuable teaching aid for undergraduate and graduate students, or for researchers and engineers who want to grasp the basic principles.

Probability and Statistics by Example: Volume 2, Markov Chains: A Primer in Random Processes and their Applications (Hardcover,... Probability and Statistics by Example: Volume 2, Markov Chains: A Primer in Random Processes and their Applications (Hardcover, Illustrated Ed)
Yuri Suhov, Mark Kelbert
R3,720 Discovery Miles 37 200 Ships in 12 - 19 working days

Probability and Statistics are as much about intuition and problem solving as they are about theorem proving. Because of this, students can find it very difficult to make a successful transition from lectures to examinations to practice, since the problems involved can vary so much in nature. Since the subject is critical in many modern applications such as mathematical finance, quantitative management, telecommunications, signal processing, bioinformatics, as well as traditional ones such as insurance, social science andengineering, the authors have rectified deficiencies in traditional lecture-based methods by collecting together a wealth of exercises with complete solutions, adapted to needs and skills of students. Following on from the success of Probability and Statistics by Example: Basic Probability and Statistics, the authors here concentrate on random processes, particularly Markov processes, emphasising modelsrather than general constructions. Basic mathematical facts are supplied as and when they are needed andhistorical information is sprinkled throughout.

Probability and Statistics by Example: Volume 1, Basic Probability and Statistics (Paperback, 2nd Revised edition): Yuri Suhov,... Probability and Statistics by Example: Volume 1, Basic Probability and Statistics (Paperback, 2nd Revised edition)
Yuri Suhov, Mark Kelbert
R1,574 Discovery Miles 15 740 Ships in 12 - 19 working days

Probability and statistics are as much about intuition and problem solving as they are about theorem proving. Consequently, students can find it very difficult to make a successful transition from lectures to examinations to practice because the problems involved can vary so much in nature. Since the subject is critical in so many applications from insurance to telecommunications to bioinformatics, the authors have collected more than 200 worked examples and examination questions with complete solutions to help students develop a deep understanding of the subject rather than a superficial knowledge of sophisticated theories. With amusing stories and historical asides sprinkled throughout, this enjoyable book will leave students better equipped to solve problems in practice and under exam conditions.

Probability and Statistics by Example: Volume 2, Markov Chains: A Primer in Random Processes and their Applications... Probability and Statistics by Example: Volume 2, Markov Chains: A Primer in Random Processes and their Applications (Paperback)
Yuri Suhov, Mark Kelbert
R2,110 Discovery Miles 21 100 Ships in 12 - 19 working days

Probability and Statistics are as much about intuition and problem solving as they are about theorem proving. Because of this, students can find it very difficult to make a successful transition from lectures to examinations to practice, since the problems involved can vary so much in nature. Since the subject is critical in many modern applications such as mathematical finance, quantitative management, telecommunications, signal processing, bioinformatics, as well as traditional ones such as insurance, social science andengineering, the authors have rectified deficiencies in traditional lecture-based methods by collecting together a wealth of exercises with complete solutions, adapted to needs and skills of students. Following on from the success of Probability and Statistics by Example: Basic Probability and Statistics, the authors here concentrate on random processes, particularly Markov processes, emphasising modelsrather than general constructions. Basic mathematical facts are supplied as and when they are needed andhistorical information is sprinkled throughout.

Information Theory and Coding by Example (Paperback, New): Mark Kelbert, Yuri Suhov Information Theory and Coding by Example (Paperback, New)
Mark Kelbert, Yuri Suhov
R1,582 Discovery Miles 15 820 Ships in 12 - 19 working days

This fundamental monograph introduces both the probabilistic and algebraic aspects of information theory and coding. It has evolved from the authors' years of experience teaching at the undergraduate level, including several Cambridge Maths Tripos courses. The book provides relevant background material, a wide range of worked examples and clear solutions to problems from real exam papers. It is a valuable teaching aid for undergraduate and graduate students, or for researchers and engineers who want to grasp the basic principles.

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