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Volumn 88, Issue 5-6, 1997, Pages 1257-1293

Metastates in disordered mean-field models: Random field and hopfield models

Author keywords

Disordered systems; Hopfield model; Mean field models; Metastates; Random field model; Random Gibbs states; Size dependence

Indexed keywords


EID: 0040453759     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02732434     Document Type: Article
Times cited : (37)

References (27)
  • 1
    • 0001068559 scopus 로고
    • Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model
    • J. M. G. Amaro de Matos, A. H. Patrick, and V A. Zagrebnov, Random Infinite-Volume Gibbs States for the Curie-Weiss Random Field Ising Model, J. Stat. Phys. 66:139-164 (1992).
    • (1992) J. Stat. Phys. , vol.66 , pp. 139-164
    • Amaro De Matos, J.M.G.1    Patrick, A.H.2    Zagrebnov A. V3
  • 2
    • 0000068030 scopus 로고
    • Fluctuations in the Curie-Weiss version of the random field Ising model
    • J. M. G. Amaro de Matos and J. F. Perez, Fluctuations in the Curie-Weiss Version of the Random Field Ising Model, J. Stat. Phys. 62:587-608 (1990).
    • (1990) J. Stat. Phys. , vol.62 , pp. 587-608
    • Amaro De Matos, J.M.G.1    Perez, J.F.2
  • 3
    • 11744381258 scopus 로고
    • Rounding effects of quenched randomness on first-order phase transitions
    • M. Aizenman and J. Wehr. Rounding Effects of Quenched Randomness on First-Order Phase Transitions, Comm. Math. Phys. 130:489-528 (1990).
    • (1990) Comm. Math. Phys. , vol.130 , pp. 489-528
    • Aizenman, M.1    Wehr, J.2
  • 4
    • 0040855971 scopus 로고
    • The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution
    • A. Bovier and V. Gayrard, The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution, to appear in Prob. Theor. Rel. Fields (1995).
    • (1995) Prob. Theor. Rel. Fields
    • Bovier, A.1    Gayrard, V.2
  • 5
    • 0004340648 scopus 로고    scopus 로고
    • Hopfield models as a generalized random mean field model
    • WIAS preprint 253. Berlin
    • A. Bovier and V. Gayrard, Hopfield models as a generalized random mean field model, WIAS preprint 253. Berlin (1996), to appear in "Mathematics of spin glasses and neural networks" A. Bovier and P. Picco, eds., "Progress in Probability," Birkhäuser (1997).
    • (1996) Mathematics of Spin Glasses and Neural Networks
    • Bovier, A.1    Gayrard, V.2
  • 6
    • 0040358522 scopus 로고    scopus 로고
    • Birkhäuser
    • A. Bovier and V. Gayrard, Hopfield models as a generalized random mean field model, WIAS preprint 253. Berlin (1996), to appear in "Mathematics of spin glasses and neural networks" A. Bovier and P. Picco, eds., "Progress in Probability," Birkhäuser (1997).
    • (1997) Progress in Probability
    • Bovier, A.1    Picco, P.2
  • 7
    • 21844481797 scopus 로고
    • Gibbs states of the Hopfield model in the regime of perfect memory
    • A. Bovier, V. Gayrard, and P. Picco, Gibbs states of the Hopfield model in the regime of perfect memory. Prob. Theor. Rel. Fields 100:329-363 (1994); Gibbs states of the Hopfield model with extensively many patterns, J. Stat. Phys. 79:395-414 (1995).
    • (1994) Prob. Theor. Rel. Fields , vol.100 , pp. 329-363
    • Bovier, A.1    Gayrard, V.2    Picco, P.3
  • 8
    • 21844510860 scopus 로고
    • Gibbs states of the Hopfield model with extensively many patterns
    • A. Bovier, V. Gayrard, and P. Picco, Gibbs states of the Hopfield model in the regime of perfect memory. Prob. Theor. Rel. Fields 100:329-363 (1994); Gibbs states of the Hopfield model with extensively many patterns, J. Stat. Phys. 79:395-414 (1995).
    • (1995) J. Stat. Phys. , vol.79 , pp. 395-414
  • 9
    • 0001678444 scopus 로고
    • Large deviation estimates for a conditional probability distribution. Applications to random interaction gibbs measures
    • F. Comets, Large Deviation Estimates for a Conditional Probability Distribution. Applications to Random Interaction Gibbs Measures, Prob. Th. Rel. Fields 80:407-432 (1989).
    • (1989) Prob. Th. Rel. Fields , vol.80 , pp. 407-432
    • Comets, F.1
  • 14
    • 0030188283 scopus 로고    scopus 로고
    • An almost sure central limit theorem for the overlap parameters in the Hopfield model
    • B. Gentz, An almost sure Central Limit Theorem for the overlap parameters in the Hopfield model, Stochastic Process. Appl. 62, no. 2, 243-262 (1996).
    • (1996) Stochastic Process. Appl. , vol.62 , Issue.2 , pp. 243-262
    • Gentz, B.1
  • 15
    • 0003723490 scopus 로고
    • Gibbs measures and phase transitions
    • de Gruyter, Berlin, New York
    • H. O. Georgii, Gibbs measures and phase transitions. Studies in mathematics, vol. 9 (de Gruyter, Berlin, New York, 1988).
    • (1988) Studies in Mathematics , vol.9
    • Georgii, H.O.1
  • 16
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities, Proc. Natl. Acad. Sci. USA 79:2554-2558 (1982).
    • (1982) Proc. Natl. Acad. Sci. USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 17
    • 0039766459 scopus 로고
    • Pressure and variational principle for random Ising model
    • F. Ledrappier, Pressure and Variational Principle for Random Ising Model, Comm. Math. Phys. 56:297-302 (1977).
    • (1977) Comm. Math. Phys. , vol.56 , pp. 297-302
    • Ledrappier, F.1
  • 18
    • 0000215183 scopus 로고
    • Entropy, concentration of probability and conditional limit theorems
    • J. T. Lewis, C. E. Pfister, and W. G. Sullivan, Entropy, Concentration of Probability and Conditional Limit Theorems, Markov Proc. Rel. Felds 1:319-386 (1995).
    • (1995) Markov Proc. Rel. Felds , vol.1 , pp. 319-386
    • Lewis, J.T.1    Pfister, C.E.2    Sullivan, W.G.3
  • 19
    • 0004278206 scopus 로고    scopus 로고
    • Topics in disordered systems
    • Birkhäuser
    • C. M. Newman, Topics in Disordered Systems, to appear in "ETH Lecture Notes Series," Birkhäuser (1996).
    • (1996) ETH Lecture Notes Series
    • Newman, C.M.1
  • 20
    • 0040358565 scopus 로고
    • Chaotic size dependence in spin glasses
    • Cellular Automata and Cooperative Systems, Boccara, Goles, Martinez, Picco (Eds.), Kluwer, Dordrecht
    • C. M. Newman and D. L. Stein, Chaotic Size Dependence in Spin Glasses, in Cellular Automata and Cooperative Systems, Boccara, Goles, Martinez, Picco (Eds.), Nato ASI Series C Vol. 396, Kluwer, Dordrecht (1993).
    • (1993) Nato ASI Series C , vol.396
    • Newman, C.M.1    Stein, D.L.2
  • 21
    • 4243687064 scopus 로고    scopus 로고
    • Non-mean field behavior in realisitic spin glasses
    • C. M. Newman and D. L. Stein, Non-Mean Field Behavior in realisitic Spin glasses, Phys. Rev. Lett. 76, No. 3, 515 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.3 , pp. 515
    • Newman, C.M.1    Stein, D.L.2
  • 22
    • 4243423843 scopus 로고    scopus 로고
    • Spatial inhomogeneity and thermodynamic chaos
    • C. M. Newman and D. L. Stein, Spatial Inhomogeneity and thermodynamic chaos, Phys. Rev. Lett. 76, No. 25, 4821 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.25 , pp. 4821
    • Newman, C.M.1    Stein, D.L.2
  • 24
    • 0011285464 scopus 로고
    • Strong approximation for set-indexed partial-sum processes, via KMT constructions II
    • E. Rio, Strong Approximation for set-indexed partial-sum processes, via KMT constructions II, Ann. Prob. 21, No. 3, 1706-1727 (1993).
    • (1993) Ann. Prob. , vol.21 , Issue.3 , pp. 1706-1727
    • Rio, E.1
  • 25
    • 21844525446 scopus 로고
    • Entropy, limit theorems, and variational principles for disordered lattice systems
    • T. Seppäläinen, Entropy, limit theorems, and variational principles for disordered lattice systems, Commun. Math. Phys. 171:233-277 (1995).
    • (1995) Commun. Math. Phys. , vol.171 , pp. 233-277
    • Seppäläinen, T.1
  • 26
    • 0000242715 scopus 로고
    • On the mean-field Ising model in a random external field
    • S. R. Salinas and W. F. Wreszinski, On the Mean-Field Ising Model in a Random External Field, J. Stat. Phys. 41:299-313 (1985).
    • (1985) J. Stat. Phys. , vol.41 , pp. 299-313
    • Salinas, S.R.1    Wreszinski, W.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.