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References
- G. Ben Arous, A. Dembo, and A. Guionnet. Aging of spherical spin glasses. Probab. Theory Related Fields, 120(1):1-67, 2001. No Math. Review.
- R.R. Bahadur and S. Zabell. Large deviations of the sample means in general vector spaces. Ann. Probab., 7:587-621, 1979. Math. Review number MR80i:60031
- B. Bercu, F. Gamboa, and M. Lavielle. Sharp large deviations for gaussian quadratic forms with applications. ESAIM Probab. Statist., 4:1-24, 2000. Math. Review number MR2001b:60039
- B. Bercu, F. Gamboa, and A. Rouault. Large deviations for quadratic functionals of stationary Gaussian processes. Stochastic Process. Appl., 71:75-90, 1997. Math. Review number MR99c:60052
- W. Bryc and A. Dembo. Large deviations for quadratic functionals of Gaussian processes. J. Theoret. Probab., 10:307-332, 1997. Math. Review number MR98g:60056
- I. Csiszár, F. Gamboa, and E. Gassiat. Mem pixel correlated solutions for generalized moment and interpolation problems. IEEE Trans. Inform. Theory, 45(7):2253-2270, 1999. Math. Review number MR2000i:94004
- D. Dacunha-Castelle and F. Gamboa. Maximum d'entropie et problème des moments. Ann. Inst. H. Poincaré Probab. Statist., 26:567-596, 1990. Math. Review number MR92a:62008
- A. de Acosta. Large deviations for vector-valued Lévy processes. Stochastic Process. Appl., 51:75-115, 1994. Math. Review number MR96b:60060
- A. Dembo and O. Zeitouni. Large Deviations Techniques And Applications. Springer Verlag, New York, second edition, 1998. Math. Review number MR99d:60030
- N. Dunford and J.T. Schwartz. Linear Operators, Part I. Interscience Publishers Inc., New York, 1958. Math. Review number MR90g:47001a
- R.S. Ellis, J. Gough, and J.V. Pulé. The large deviation principle for measures with random weights. Rev. Math. Phys., 5(4):659-692, 1993. Math. Review number MR94j:60051
- F. Gamboa and E. Gassiat. Bayesian methods and maximum entropy for ill-posed inverse problems. Ann. Statist., 25(1):328-350, 1997. Math. Review number MR98k:62002
- F. Gamboa, A. Rouault, and M. Zani. A functional large deviations principle for quadratic forms of Gaussian stationary processes. Statist. Probab. Lett., 43:299-308, 1999. Math. Review number MR2000j:60040
- C. Léonard. Large deviations for Poisson random measures and processes with independent increments. Stochastic Process. Appl., 85:93-121, 2000. Math. Review number MR2001b:60041
- C. Léonard and J. Najim. An extention of Sanov's theorem. Application to the Gibbs conditionning principle. Preprint, 2000. No Math. Review.
- J. Lynch and J. Sethuraman. Large deviations for processes with independent increments. Ann. Probab., 15(2):610-627, 1987. Math. Review number MR88m:60076
- A.A. Mogul'skii. Large deviations for trajectories of multi-dimentional random walks. Theory Probab. Appl., 21:300-315, 1976. Math. Review number MR54%20%238810
- A.A. Mogul'skii. Large deviations for processes with independent increments. Ann. Probab., 21:202-213, 1993. Math. Review number MR94g60053
- R. T. Rockafellar. Convex Analysis. Princeton University Press, Princeton, 1970. Math. Review number MR97m:49001
- R. T. Rockafellar. Convex integral functionals and duality. In E. Zarantello, editor, Contributions to Non Linear Functional Analysis, pages 215-236. Academic Press, 1971. Math. Review number MR52%20%2311693
- R. T. Rockafellar. Integrals which are convex functionals, II. Pacific J. Math., 39(2):439-469, 1971. Math. Review number MR46%20%239710
- M. van den Berg, T. C. Dorlas, J. T. Lewis, and J. V. Pulé. A perturbed mean field model of an interacting boson gas and the large deviation principle. Comm. Math. Phys., 127(1):41-69, 1990. Math. Review number MR91c82037
- M. Zani. Grandes déviations pour des fonctionnelles issues de la statistique des processus. PhD thesis, Université Paris-Sud, 1999. No Math. Review.

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