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This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists.
Table des matières
0 Introduction.- 1 Ground States of Disordered Ferromagnets.- 2 Ground States of Highly Disordered Systems.- 3 High Temperature States of Disordered Systems.- 4 Low Temperature States of Disordered Systems.- Appendix A: Infinite Geodesice and Measurability.- Appendix B: Disordered Systems and Metastates.
Commentaire
"The book is accessible to those with an understanding of the basic theory of Gibbs distribution, yet it proceeds almost immediately to the frontiers of research... It is not an attempt to survey the entire field of disordered systems, but it serves as an excellent introduction nonetheless... Newman's well-written, cohesive presentation should be of great assistance to new and experienced researchers, both mathematicians and physicists."
--Bulletin of the AMS
"A very up-to-date presentation of carefully selected topics... Interesting not only to applied mathematicians and specialists in probability theory, but also to materials scientists and condensed matter physicists."
--Applications of Mathematics
