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Onsager- Machlup Functions for Ising Networks

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Part of the book series: NATO ASI Series ((NSSB,volume 222))

Abstract

Networks of interacting two-state variables have been proposed as models for a variety of systems, e.g.,neuronal circuits and associative memory devices(1)of population dynamics and magnetic systems.We will concentrate in the following on neural network models though some of the results can be applied to other systems as well.

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References

  1. W.A.Little, Math.Biosci. 19:101(1974); J.J.Hopfield, Proc.Natl.Acad.Sci.USA 79:2554(1982); 81: 3088 (1984)

    Google Scholar 

  2. D.J.Amit,H.Gutfreund and H.Sompolinsky,Phys.Rev.A 32:1007 (1985); Ann.Phys. (N.Y.)173:30(1987)

    Google Scholar 

  3. H.Sompolinsky and A.Zippelius, Phys.Rev.B 25: 6860 (1982)

    Google Scholar 

  4. H.J.Sommers, Phys.Rev.Lett. 58: 1268 (1987)

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  5. R.Kree and A.Zippelius, Phys.Rev.A 36:4421(1987); and to be published

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  6. L.Onsager and S.Machlup,Phys.Rev.91:1505;1512(1953)

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  7. B.Derrida, E.Gardner and A.Zippelius, Europhys.Lett. 4: 167 (1987)

    Article  ADS  Google Scholar 

  8. P.Peretto, Biol.Cybern. 50: 51 (1984)

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  9. R.Kree, to be published

    Google Scholar 

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© 1990 Springer Science+Business Media New York

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Kree, R. (1990). Onsager- Machlup Functions for Ising Networks. In: Campbell, I.A., Giovannella, C. (eds) Relaxation in Complex Systems and Related Topics. NATO ASI Series, vol 222. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2136-9_43

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  • DOI: https://doi.org/10.1007/978-1-4899-2136-9_43

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2138-3

  • Online ISBN: 978-1-4899-2136-9

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