Spin Glasses and Complexity

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Princeton University Press, 2013 - Mathematics - 317 pages
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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.

 

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Contents

Why Spin Glasses?
1
1 Order Symmetry and the Organization of Matter
15
2 Glasses and Quenched Disorder
43
3 Magnetic Systems
51
General Features
63
5 The InfiniteRange Spin Glass
90
6 Applications to Other Fields
112
Some Basic Questions
175
8 Are Spin Glasses Complex Systems?
218
Notes
239
Glossary
265
Bibliography
285
Index
309
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About the author (2013)

Daniel L. Stein is professor of physics and mathematics at New York University's Courant Institute of Mathematical Sciences. His books include Spin Glasses and Biology. Charles M. Newman is professor of mathematics at NYU's Courant Institute of Mathematical Sciences and at the University of California, Irvine. His books include Topics in Disordered Systems.

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