Download E-books Introduction to the Theory of Spin Glasses and Neural Networks (Series in Pure Mathematics) PDF

By Viktor Dotsenko

This publication goals to explain basically the recent zone of statistical mechanics often called spin-glasses, encompassing platforms within which quenched sickness is the dominant issue. The publication starts with a non-mathematical clarification of the matter, and the trendy knowing of the physics of the spin-glass nation is formulated more often than not phrases. subsequent, the 'magic' of the copy symmetry breaking scheme is tested and the physics at the back of it mentioned. fresh experiments on genuine spin-glass fabrics are in short defined to illustrate how this a bit of summary physics might be studied within the laboratory. the ultimate chapters of the publication are dedicated to statistical types of neural networks.The fabric this is self-contained and will be available to scholars with a easy wisdom of theoretical physics and statistical mechanics. it's been used for a one-term graduate lecture path on the Landau Institute for Theoretical Physics.

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