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Limit theorems for stochastic processes associated with a boson gas

Part of the Lecture Notes in Mathematics book series (LNM,volume 1325)

Keywords

  • Stochastic Differential Equation
  • Thermodynamic Limit
  • Large Deviation Principle
  • Brownian Bridge
  • Cumulant Generate Function

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References

  1. J.T.Lewis: The Large Deviation Principle in Statistical Mechanics: an Expository Account (in this volume).

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  2. M. van den Berg, J.T. Lewis, J.V. Pule: Large Deviations and the Boson Gas, (in this volume).

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  3. M. van den Berg, J.T. Lewis and J.V. Pule: A General Theory of Bose-Einstein Condensation, Helv. Phys. Acta, 59, 1271–1288 (1986).

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  4. E.B. Davies: The Thermodynamic Limit for an Imperfect Boson Gas, Commun. Math. Phys. 28, 69–86 (1972).

    CrossRef  MathSciNet  Google Scholar 

  5. W.F. Wreszinski: Normal Fluctuations in some Mean-Field Models in Quantum Statistical Mechanics, Helv. Phys. Acta, 46, 844–868 (1974).

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  6. M. Fannes, A. Verbeure: The Imperfect Boson Gas, J. Math. Phys. 21, 1809–1818 (1980).

    CrossRef  MathSciNet  Google Scholar 

  7. E. Buffet, J.V. Pule: Fluctuation Properties of the Imperfect Boson Gas, J. Math. Phys. 24, 1608–1616 (1983).

    CrossRef  MathSciNet  Google Scholar 

  8. M. van den Berg, J.T. Lewis, P. de Smedt: Condensation in the Imperfect Boson Gas, J. Stat. Phys., 37, 697–707 (1984).

    CrossRef  MathSciNet  Google Scholar 

  9. E. Nelson: Dynamical Theories of Brownian Motion, New Jersey: Princeton University Press, 1967.

    MATH  Google Scholar 

  10. P. McGill: Seminaires de Probabilities, XX, LNM 1204, Springer: Heidelberg 1986.

    Google Scholar 

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© 1988 Springer-Verlag

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van den Berg, M., Lewis, J.T. (1988). Limit theorems for stochastic processes associated with a boson gas. In: Truman, A., Davies, I.M. (eds) Stochastic Mechanics and Stochastic Processes. Lecture Notes in Mathematics, vol 1325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077913

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  • DOI: https://doi.org/10.1007/BFb0077913

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50015-5

  • Online ISBN: 978-3-540-45887-6

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