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The large deviation principle in statistical mechanics: an expository account

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

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References

  1. J.T. Lewis and J.V. Pulè: The Equivalence of Ensembles in Statistical Mechanics, in Stochastic Analysis and its Applications, Proceedings, Swansea 1983 ed. A. Truman and D. Williams, LNM 1095, Springer: Heidelberg 1984.

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  2. S.R.S. Varadhan: Asymptotic Probabilities and Differential Equations, Comm. Pure Apppl. Math. 19 261–286 (1966).

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

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  4. L. van Hove: Quelques propriétés générales de l'intégrale de configuration d'un système de particules à une dimension, Physica 15 951–961 (1949).

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  5. M. Schilder: Some asymptotic formulae for Wiener integrals, Trans. Amer. Math. Soc. 125 63–85 (1966).

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  6. S.R.S. Varadhan: Large Deviations and Applications, Philadelphia: Society for Industrial and Applied Mathematics 1984.

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  7. F.A. Berezin and Ya. G. Sinai: Existence of a Phase-Transition of the first kind in a lattice gas with attraction between particles, Trudy Mosk. Mat. Obshch 17, 197–212 (1967).

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  8. R.L. Dobrushin: Existence of a phase-transition in models of a lattice gas, Proc. Fifth Berkeley Symposium, III, 73–87 (1967).

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  9. R.S. Ellis: Large Deviations for a general class of random vectors, Ann. Probab. 12, 1–12 (1984).

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© 1988 Springer-Verlag

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Lewis, J.T. (1988). The large deviation principle in statistical mechanics: an expository account. 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/BFb0077923

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  • DOI: https://doi.org/10.1007/BFb0077923

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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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