Spin Glass Theory And Beyond : An Introduction To The Replica Method And Its ApplicationsWorld Scientific Publishing Company, 1 nov. 1987 - 476 pages This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject. |
Expressions et termes fréquents
algorithm Almeida Anderson annealing ansatz approach average behaviour calculate clusters compute configurations connected correlation functions correlation functions defined Dominicis dynamics eigenvalues entropy equal equilibrium exponential ferromagnetic finite fluctuations free energy function q(x Gaussian given h₁ Hamiltonian Hopfield model independent infinite infinite-ranged integral interactions Kirkpatrick large number Lett linear low temperature m₁ magnetic field matrix mean field theory memory metastable Mézard minima Monte Carlo neuron NP complete obtained optimization order parameter overlap Parisi partition function patterns Phys physical Physique prediction probability distribution problem properties pure q₁ random variables replica method replica symmetry breaking S₁ saddle point sample scale Sherrington simulations SK model Sompolinsky space spin glass spin glass phase stable statistical mechanics synapses tanh TAP equations thermodynamic limit Thouless tion Toulouse ultrametric αβ