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Author:   Michel Talagrand
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd ed. 2011
Volume:   55
Dimensions:   Width: 15.50cm , Height: 3.40cm , Length: 23.50cm
Weight:   1.124kg
ISBN:  

9783642222528

ISBN 10:   3642222528
Pages:   632
Publication Date:   14 August 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Part I. Advanced Replica-Symmetry. - The Gardener Formula for the sphere. - The Gardener Formula for the Discrete Cube. - The Hopfield Model. - The SK Model Without External Field. - Part II. Low Temperature. - The Ghirlanda-Guerra Identities. - The High-Temperature Region of the SK Model. - The Parisi Formula. - The Parisi Solution. - The p-spin Interaction Model. - Appendix: Elements of Probability Theory. - References. - Index.

Reviews

From the reviews of the second edition: This is the second volume of the author's treatise Mean field models for spin glasses ... . With its depth and profusion of important techniques, this book ... opens new perspectives in probability theory and statistical mechanics of disordered systems. It will be a source of inspiration for generations of mathematicians. (Francis Comets, Mathematical Reviews, November, 2013) This is the second volume of the treatise 'Mean fields models for spin glasses' and it is truly the continuation of the preceding one. ... the book is a book of mathematics expanded around Hamiltonian. The main considered topics are the Gardner formula, the Hopfield model, the SK model, the Parisi formula and the p-spin interaction model. ... This is truly a nice book of condensed mathematics. (Guy Jumarie, Zentralblatt MATH, Vol. 1232, 2012)

From the reviews of the second edition: This is the second volume of the author's treatise Mean field models for spin glasses ... . With its depth and profusion of important techniques, this book ... opens new perspectives in probability theory and statistical mechanics of disordered systems. It will be a source of inspiration for generations of mathematicians. (Francis Comets, Mathematical Reviews, November, 2013) This is the second volume of the treatise 'Mean fields models for spin glasses' and it is truly the continuation of the preceding one. ... the book is a book of mathematics expanded around Hamiltonian. The main considered topics are the Gardner formula, the Hopfield model, the SK model, the Parisi formula and the p-spin interaction model. ... This is truly a nice book of condensed mathematics. (Guy Jumarie, Zentralblatt MATH, Vol. 1232, 2012)

From the reviews of the second edition: This is the second volume of the author's treatise Mean field models for spin glasses ... . With its depth and profusion of important techniques, this book ... opens new perspectives in probability theory and statistical mechanics of disordered systems. It will be a source of inspiration for generations of mathematicians. (Francis Comets, Mathematical Reviews, November, 2013) This is the second volume of the treatise `Mean fields models for spin glasses' and it is truly the continuation of the preceding one. ... the book is a book of mathematics expanded around Hamiltonian. The main considered topics are the Gardner formula, the Hopfield model, the SK model, the Parisi formula and the p-spin interaction model. ... This is truly a nice book of condensed mathematics. (Guy Jumarie, Zentralblatt MATH, Vol. 1232, 2012)

From the reviews of the second edition: This is the second volume of the treatise 'Mean fields models for spin glasses' and it is truly the continuation of the preceding one. ... the book is a book of mathematics expanded around Hamiltonian. The main considered topics are the Gardner formula, the Hopfield model, the SK model, the Parisi formula and the p-spin interaction model. ... This is truly a nice book of condensed mathematics. (Guy Jumarie, Zentralblatt MATH, Vol. 1232, 2012)

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