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Mathematical Aspects of Spin Glasses and Neural Networks
- Editore:
Birkhäuser Boston
- Collana:
- Progress In Probability
- EAN:
9781461286530
- ISBN:
1461286530
- Pagine:
- 396
- Formato:
- Paperback
- Lingua:
- Inglese
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Descrizione Mathematical Aspects of Spin Glasses and Neural Networks
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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