Preface.- 1 The Free Energy and Gibbs Measure.- 2 The Ruelle Probability Cascades.- 3 The Parisi Formula.- 4 Toward a Generalized Parisi Ansatz.- A Appendix.- Bibliography.- Notes and Comments.- References.- Index.
Dmitry Panchenko is Professor of Mathematics at Texas A&M University.
From the book reviews: "The book is a very valuable addition to the literature in the field, and can be seen as complementary to other existing works ... . I would recommend this book especially to young researchers. They can learn from it a lot about the scientific results, which could be extended to other important cases of hard optimization problems. It also provides an insight on developing original strategies when working with the difficult mathematical problems arising in studies of complex systems." (Francesco Guerra, Bulletin of the American Mathematical Society, Vol. 52 (1), January, 2015)"The monograph under review is concerned with the Sherrington-Kirkpatrick (SK) model of spin glasses. ... The monograph deals with a notoriously difficult subject. Nevertheless, the author takes care to explain the ideas behind the proofs, which makes the text pleasant to read. It will most certainly remain a reference for years." (José Trashorras, Mathematical Reviews, April, 2014)
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