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Long-time fluctuations of weakly interacting diffusions

  • Infinite-dimensional Stochastic Systems And Random Fields. Stochastic Partial Differential Equations
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Book cover Stochastic Differential Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 96))

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References

  1. F. Comets, Tunnelling and nucleation for a local mean field model, preprint, 1985.

    Google Scholar 

  2. D.A. Dawson and J. Gärtner, Large deviations from the McKean-Vlasov limit for weakly interacting diffusions, Stochastics, to appear.

    Google Scholar 

  3. D.A. Dawson and J. Gärtner, Large deviations, free energy functional, and quasipotential for a mean field model of interacting diffusions, Technical Report Series of the Laboratory for Research in Statistics and Probability, Carleton Univ. Ottawa, 1986.

    Google Scholar 

  4. D.A. Dawson and J. Gärtner, Dynamical phase transitions and metastability for a mean field model of interacting diffusions, in preparation.

    Google Scholar 

  5. R.S. Ellis and C.M. Newman, The statistics of Curie-Weiss models, J. Statist. Phys. 19 (1978), 149–161.

    Google Scholar 

  6. W.G. Faris and G. Jona-Lasinio, Large fluctuations for a nonlinear heat equation with noise, J. Phys. A: Math. Gen. 15 (1982), 3025–3055.

    Google Scholar 

  7. M.I. Freidlin and A.D. Wentzell, Random Perturbations of Dynamical Systems, Springer-Verlag, New York, 1984.

    Google Scholar 

  8. J. Gärtner, On the McKean-Vlasov limit for interacting diffusions, I, II, AdW der DDR, Karl-Weierstrass-Institut für Mathematik, preprint, 1986.

    Google Scholar 

  9. R.J. Glauber, Time-dependent statistics of the Ising model, J. Math. Phys. 4 (1963), 2, 294–307.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Carleton University, K1S 5B6, Ottawa, Ontario, Canada

    D. A. Dawson & J. Gärtner

  2. Karl-Weierstrass-Institut für Mathematik, Akademie der Wissenschaften der DDR, PF 1304, 1086, Berlin, DDR

    D. A. Dawson & J. Gärtner

Authors
  1. D. A. Dawson
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  2. J. Gärtner
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Editor information

Hans Jürgen Engelbert Wolfgang Schmidt

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© 1987 Springer-Verlag

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Dawson, D.A., Gärtner, J. (1987). Long-time fluctuations of weakly interacting diffusions. In: Engelbert, H.J., Schmidt, W. (eds) Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038915

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  • DOI: https://doi.org/10.1007/BFb0038915

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18010-4

  • Online ISBN: 978-3-540-47245-2

  • eBook Packages: Springer Book Archive

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