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TitleMathematical Aspects of Spin Glasses and Neural Networks [electronic resource] / edited by Anton Bovier, Pierre Picco
ImprintBoston, MA : Birkhรคuser Boston, 1998
Connect tohttp://dx.doi.org/10.1007/978-1-4612-4102-7
Descript VIII, 382 p. online resource

CONTENT

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


Mathematics Applied mathematics Engineering mathematics Combinatorics Physics Phase transitions (Statistical physics) Statistical physics Dynamical systems Mathematics Applications of Mathematics Combinatorics Mathematical Methods in Physics Statistical Physics Dynamical Systems and Complexity Phase Transitions and Multiphase Systems



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