Download or read book Mathematical Aspects of Spin Glasses and Neural Networks written by Anton Bovier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Aspects of Spin Glasses and Neural Networks written by Anton Bovier and published by Birkhauser. This book was released on 1998 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to the Theory of Spin Glasses and Neural Networks written by Viktor Dotsenko and published by World Scientific. This book was released on 1994 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.
Download or read book Spin Glasses and Complexity written by Daniel L. Stein and published by Princeton University Press. This book was released on 2013-01-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
Download or read book Spin Glasses A Challenge for Mathematicians written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2003-07-11 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.
Download or read book An Introduction To The Theory Of Spin Glasses And Neural Networks written by V Dotsenko and published by World Scientific. This book was released on 1995-01-16 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.
Download or read book Spin Glasses and Other Frustrated Systems written by Debashish Chowdhury and published by World Scientific. This book was released on 1986 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long list of ?spin glass materials? and the summary of the experimental results provided in this book emphasize the common features of spin glasses despite the diversities. The critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the static and dynamic properties of real spin glasses but also explains the physical concepts and mathematical formalism which have been used so successfully in solving the infinite range model. Morever, a beginner will find practical applications of the concepts of broken ergodicity, ultrametricity, gauge invariance, etc. in this book. Major progress has been made in solving many other challenging problems, e.g., computer design, associative memory, pattern recognition and neural networks, evolution of biological species etc. by mapping them onto the spin glass models. The chapter on these spin- glass-like systems will be useful not only to physicists but also to computer scientists and biologists.
Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2010-11-10 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians". This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume is expected to appear in 2011. In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The first volume of this new and completely rewritten edition presents six fundamental models and the basic techniques to study them.
Download or read book Statistical Physics of Spin Glasses and Information Processing written by Hidetoshi Nishimori and published by Clarendon Press. This book was released on 2001 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
Download or read book Spin Glasses and Biology written by Daniel L. Stein and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction / P.W. Anderson -- The physics of neural networks / H. Gutfreund and G. Toulouse. 1. Introduction -- 2. Basic elements of neural network models -- 3. Basic functions of neural network models -- 4. The Hopfield model -- 5. The Gardner approach -- 6. Hierarchically correlated data and categorization -- 7. Generalization -- 8. Discussion - issues of relevance -- References -- The origins of order: self-organization and selection in evolution / S.A. Kauffman. 1. Introduction -- 2. Fitness landscapes in sequence space -- 3. The NK model of rugged fitness landscapes -- 4. The rank order statistics on K = N - 1 random landscapes -- 5. Summary -- References -- Self-organization in prebiological systems: a model for the origin of genetic information / D.S. Rokhsar. 1. Biology and information -- 2. A model for self-replicating polymer systems -- 3. Some numerical results -- 4. Conclusions -- References -- Evolution of species and punctuated equilibria: genotypes, phenotypes and population dynamics / G. Weisbuch. 1. Introduction -- 2. Robustness in networks of automata -- 3. Evolution of species -- References -- Mathematical models of evolution on rugged landscapes / A.S. Perelson and C.A. Macken. 1. Introduction -- 2. A model of affinity maturation -- 3. Results -- 4. Correlated landscapes -- References -- The spin-glass analogy in protein dynamics / R.H. Austin and C.M. Chen. 1. Foreword: just what problem are we trying to solve? -- 2. What is a spin glass? -- 3. What a protein glass might be -- 4. Properties of spin glasses -- 5. Spin glasses and elastic orientational glasses -- 6. Spin glasses and proteins -- References -- Spin glass ideas and the protein folding problems / P.G. Wolynes. 1. Introduction -- 2. Phenomenological background for the protein folding problem -- 3. Spin glasses and protein folding -- 4. Sophisticated theories of heteropolymer collapse as a basis for the statistical protein model -- 5. Using spin glass ideas in the design of protein folding algorithms -- 6. Questions raised by the spin glass picture in the protein folding problem -- References
Download or read book Neural Networks And Spin Glasses Proceedings Of The Statphys 17 Workshop written by Roland Koebarle and published by World Scientific. This book was released on 1990-04-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis of the proceedings is on the performance of neural networks through selection of the complex state structure of spin glasses in condensed matter physics.
Download or read book Spin Glasses Statics and Dynamics written by Anne Boutet de Monvel and published by Springer Science & Business Media. This book was released on 2009-12-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?ourishing and rapidly growing subject of probability theory as well. These developments have been triggered to a large part by the mathem- ical understanding gained on the fascinating and previously mysterious “Parisi solution” of the Sherrington–Kirkpatrick mean ?eld model of spin glasses, due to the work of Guerra, Talagrand, and others. At the same time, new aspects and applications of the methods developed there have come up. The presentvolumecollects a number of reviewsaswellas shorterarticlesby lecturers at a summer school on spin glasses that was held in July 2007 in Paris. These articles range from pedagogical introductions to state of the art papers, covering the latest developments. In their whole, they give a nice overview on the current state of the ?eld from the mathematical side. The review by Bovier and Kurkova gives a concise introduction to mean ?eld models, starting with the Curie–Weiss model and moving over the Random Energymodels up to the Parisisolutionof the Sherrington–Kirkpatrikmodel. Ben Arous and Kuptsov present a more recent view and disordered systems through the so-called local energy statistics. They emphasize that there are many ways to look at Hamiltonians of disordered systems that make appear the Random Energy model (or independent random variables) as a universal mechanism for describing certain rare events. An important tool in the analysis of spin glasses are correlation identities.
Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by . This book was released on 2011 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spin Glasses written by Erwin Bolthausen and published by Springer. This book was released on 2007-01-11 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.
Download or read book Spin Glass Theory and Beyond written by M Mezard and published by World Scientific Publishing Company. This book was released on 1987-11-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.
Download or read book Perspectives on Spin Glasses written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2013 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.
Download or read book The Sherrington Kirkpatrick Model written by Dmitry Panchenko and published by Springer Science & Business Media. This book was released on 2013-02-26 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.
