Overview

Aimed at graduates and potential researchers, this is a comprehensive introduction to the mathematical aspects of spin glasses and neural networks. It should be useful to mathematicians in probability theory and theoretical physics, and to engineers working in theoretical computer science.

Full Product Details

Author:   Anton Bovier ,  Pierre Picco
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   41
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.598kg
ISBN:  

9781461286530

ISBN 10:   1461286530
Pages:   382
Publication Date:   25 February 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1: Statics.- 1.1 Mean Field Models.- Hopfield Models as Generalized Random Mean Field Models.- The Martingale Method for Mean-Field Disordered Systems at High Temperature.- On the Central Limit Theorem for the Overlap in the Hopfield Model.- Limiting Behavior of Random Gibbs Measures: Metastates in Some Disordered Mean Field Models.- On the Storage Capacity of the Hopfield Model.- 1.2 Lattice Models.- Typical Profiles of the Kac-Hopfield Model.- Thermodynamic Chaos and the Structure of Short-Range Spin Glasses.- Random Spin Systems with Long-Range Interactions.- 2: Dynamics.- Langevin Dynamics for Sherrington-Kirkpatrick Spin Glasses.- Sherrington-Kirkpatrick Spin-Glass Dynamics Part II: The Discrete Setting.

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