Spin Glasses: A Challenge for Mathematicians Cavity and Mean Field Models

From the reviews:

"The book presents most of the technical tools available today for a rigorous analysis of random mean field models. It will be indispensable for anyone working in the field." (Anton Bovier, Combinatorics, Probability & Computing, Issue 13, 2004)

"This book seeks to start from basics … to develop the rigorous theory, in almost complete detail. … this is a book of ideas and calculations which build upon each other to create a rich and informative theory." (David Aldous, SIAM Reviews, Vol. 47 (1), 2005)

"Each section of the book ends with some comments on the literature. … The author has … put a great effort into rendering the exposition as clear as possible. … The book will, certainly, find a favorite place on the desk of anyone working in the field." (Anton Bovier, Zentralblatt MATH, Vol. 1033 (8), 2004)

"This is a book on structures, which are very interesting for physics and – at the same time – rather fundamental for mathematics. … In conclusion, this is a very important, impressive book, written by a prominent mathematician and leading expert in the field … . the book remains indispensable as a basic introduction and reference on this extremely difficulty and interesting subject." (EMS Newsletter, March, 2006)