Spin glasses : a challenge for mathematicians : cavity and mean field models
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Bibliographic Information
Spin glasses : a challenge for mathematicians : cavity and mean field models
（Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge,
Springer, c2003
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Note
Bibliography: p. [577]-584
Includes index
Description and Table of Contents
Description
In the 1980s, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". This rigorous book introduces 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.
Table of Contents
0. Introduction.- 1. A Toy Model, the REM.- 2. The Sherrington-Kirkpatrick Model.- 3. The Capacity of the Perceptron: The Ising Case.- 4. Capacity of the Perceptron: The Gaussian and the Spherical Case.- 5. The Hopfield Model.- 6. The p-Spin Interaction Model at Low Temperature.- 7. The Diluted SK Model and the K-Sat Problems.- 8. An Assignment Problem.- A. Appendix.- Elements of Probability Theory.- References.- Index.
by "Nielsen BookData"