Gibbs states of the Hopfield model in the regime of perfect memory

Probability Theory and Related Fields

Volumn 100, Issue 3, 1994, Pages 329-363

  Bovier, Anton ^a   Gayrard, Véronique ^b   Picco, Pierre ^b  

^a LEIBNIZ INSTITUT FÜR KATALYSE E V AN DER UNIVERSITÄT ROSTOCK   (Germany)

^b CNRS   (France)

Author keywords

Mathematics Subject Classification (1991): 60K35, 82B44, 82C32

Indexed keywords

EID: 21844481797     PISSN: 01788051     EISSN: 14322064     Source Type: Journal    
DOI: 10.1007/BF01193704     Document Type: Article

References (26)

1. Spin-glass models of neural networks
2. Storing infinite numbers of patterns in a spin glass model of neural networks
3. Rigorous results on the thermodynamics of the dilute Hopfield model
4. Large deviation estimates for a conditional probability distribution. Applications to random Gibbs measures
5. The eigenvalues of random symmetric matrices
6. Exactly soluble model of a spin glass
7. On the theory of disordered spin systems
8. The thermodynamic limit of the q-state Potts-Hopfield model with infinitely many patterns
9. Spin glass models of a neural network
10. Neural networks and physical systems with emergent collective computational abilities
11. On a method of calculating quantum distribution functions
12. A free energy bound for the Hopfield model
13. Convergence results in a autoassociative memory model
14. Some rigorous results on the Hopfield neural network model
15. Memory capacity in neural network models: Rigorous lower bounds
16. The replica symmetric solution without the replica trick for the Hopfield model
17. A remark on Stirling's formula
18. Solvable model of a spin glass
19. The free energy for a class of Hopfield models
20. Fluctuation of the free energy in the Hopfield model