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Volumn 40, Issue 8, 1999, Pages 3930-3947

On the replica symmetric equations for the Hopfield model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033241160     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532935     Document Type: Article
Times cited : (19)

References (14)
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  • 3
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    • Fluctuation of the free energy in the Hopfield model
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  • 4
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    • Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model
    • L. Pastur and M. Shcherbina, "Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model," J. Stat. Phys. 62, 1-26 (1991).
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    • Pastur, L.1    Shcherbina, M.2
  • 5
    • 21344485673 scopus 로고
    • The replica-symmetric solution without replica trick for the Hopfield model
    • L. Pastur, M. Shcherbina, and B. Tirozzi, "The replica-symmetric solution without replica trick for the Hopfield model," J. Stat. Phys. 74(5/6), 1161-1183 (1994).
    • (1994) J. Stat. Phys. , vol.74 , Issue.5-6 , pp. 1161-1183
    • Pastur, L.1    Shcherbina, M.2    Tirozzi, B.3
  • 6
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," Physica A 79, 2554-2558 (1982).
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    • Hopfield, J.1
  • 7
    • 17044416028 scopus 로고
    • Infinite models of spin glasses
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    • Sherrington, D.1    Kirkpatrick, S.2
  • 8
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    • More about the absence of selfaveraging of the order parameter for the Sherrington-Kirkpatrick Model
    • Rome
    • M. Shcherbina, "More About the Absence of Selfaveraging of the Order Parameter for the Sherrington-Kirkpatrick Model," CARR Preprint 3/91, Rome (1991).
    • (1991) CARR , vol.3 , Issue.91
    • Shcherbina, M.1
  • 9
    • 0000862452 scopus 로고    scopus 로고
    • On the replica symmetric solution for the Sherrington-Kirkpatrick mocel
    • M. Shcherbina, "On the replica symmetric solution for the Sherrington-Kirkpatrick mocel," Helv. Phys. Acta 70, 772-797 (1997).
    • (1997) Helv. Phys. Acta , vol.70 , pp. 772-797
    • Shcherbina, M.1
  • 10
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    • Rigorous results for the Hopfield models with many patterns
    • M. Talagrand, "Rigorous results for the Hopfield models with many patterns," Prob. Theor. Rel. Fields 110, 109-176 (1998).
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    • Talagrand, M.1
  • 11
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    • The Sherrington Kirkpatrick model: A challenge to mathematicians
    • M. Talagrand, "The Sherrington Kirkpatrick model: A challenge to mathematicians," Prob. Theor. Rel. Fields 110, 177-286 (1998).
    • (1998) Prob. Theor. Rel. Fields , vol.110 , pp. 177-286
    • Talagrand, M.1
  • 12
    • 0030353308 scopus 로고    scopus 로고
    • An almost sure large deviation principle for the Hopfield model
    • A. Bovier and V. Gayrard, "An almost sure large deviation principle for the Hopfield model," Ann. Prob. 24, 1444-1475 (1997).
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    • Bovier, A.1    Gayrard, V.2
  • 13
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    • The free energy of a class of Hopfield models
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    • Shcherbina, M.1    Tirozzi, B.2
  • 14
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    • The SLLN for free-energy of a class of neural works
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    • Feng, J.1    Tirozzi, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.