Keywords
- Stochastic Differential Equation
- Thermodynamic Limit
- Large Deviation Principle
- Brownian Bridge
- Cumulant Generate Function
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References
J.T.Lewis: The Large Deviation Principle in Statistical Mechanics: an Expository Account (in this volume).
M. van den Berg, J.T. Lewis, J.V. Pule: Large Deviations and the Boson Gas, (in this volume).
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).
E.B. Davies: The Thermodynamic Limit for an Imperfect Boson Gas, Commun. Math. Phys. 28, 69–86 (1972).
W.F. Wreszinski: Normal Fluctuations in some Mean-Field Models in Quantum Statistical Mechanics, Helv. Phys. Acta, 46, 844–868 (1974).
M. Fannes, A. Verbeure: The Imperfect Boson Gas, J. Math. Phys. 21, 1809–1818 (1980).
E. Buffet, J.V. Pule: Fluctuation Properties of the Imperfect Boson Gas, J. Math. Phys. 24, 1608–1616 (1983).
M. van den Berg, J.T. Lewis, P. de Smedt: Condensation in the Imperfect Boson Gas, J. Stat. Phys., 37, 697–707 (1984).
E. Nelson: Dynamical Theories of Brownian Motion, New Jersey: Princeton University Press, 1967.
P. McGill: Seminaires de Probabilities, XX, LNM 1204, Springer: Heidelberg 1986.
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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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