Titlebook: Mean Field Models for Spin Glasses; Volume I: Basic Exam Michel Talagrand Book 2011 Springer-Verlag Berlin Heidelberg 2011 Disordered Syste

Crumple

The ,-statistics Model,This is not a classical model. Rather, it was invented in a systematic effort to discover Hamiltonians that would present new features. The new feature here is that the so-called replica-symmetric equations require the use of an auxiliary function as a parameter.

CANON

The Diluted SK Model and the K-Sat Problem,In this chapter we study in a general framework models with finite connectivity, that is, such that each spin interacts “with a finite number of other spins”. The new feature is that the central limit theorem is no longer ubiquitous, and matters become more complicated. This model is related to several famous combinatorial optimization problems.

endocardium

An Assignment Problem,This final chapter deals with one of the least understood of the important models. This model demonstrates the far range of the ideas generated by the theory of spin glasses, and also how much our current understanding remains superficial.

ECG769

Book 2011is 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 model

小鹿

0071-1136 in two volumes..Will bring a reader with no previous knowledThis 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 res

fulcrum

The Sherrington-Kirkpatrick Model,e through this entire work. We describe very precisely the behavior of the model at high enough temperature. We then briefly examine multi-dimensional versions of this model. In subsequent chapters we examine a number of different models, each of which presents at least a strikingly different new feature.

使絕緣

Contend

CUB

焦慮