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References
K.-L. Chung. A Course in Probability Theory. Academic Press, New York, second edition, 1974.
R. Courant and D. Hilbert. Methods of Mathematical Physics. Volume 1, Interscience, New York, first english edition, 1937.
P. Dupuis and R.S. Ellis. Large deviations for Markov processes with discontinuous statistics, II: Random walks. Technical Report, University of Massachusetts, 1990. To appear in Probab. Th. Rel. Fields.
P. Dupuis and R.S. Ellis. Large deviations for Markov processes with discontinuous statistics, III: Diffusions. Technical Report, University of Massachusetts, 1991.
P. Dupuis, H. Ishii, and H.M. Soner. A viscosity solution approach to the asymptotic analysis of queueing systems. The Annals of Probab., 18:226–255, 1990.
M.I. Freidlin and A.D. Wentzell. Random Perturbations of Dynamical Systems. Springer-Verlag, New York, 1984.
H. Goldstein. Classical Mechanics. Addison-Wesley, Reading, Massachusetts, 1950.
A.D. Ioffe and V.M. Tikhomirov. Theory of Extremal Problems. Volume 6 of Studies in Mathematics and Its Applications, North-Holland, Amsterdam, 1979.
H.J. Kushner. Numerical methods for stochastic control problems in continuous time. SIAM J. Control and Optimization, 28:999–1048, 1990.
H.J. Kushner. Probability Methods for Approximations in Stochastic Control and for Elliptic Equations. Academic Press, New York, 1977.
H.J. Kushner. Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems. Volume 3 of Systems and control, Birkhaeuser, Boston, 1990.
S.R.S. Varadhan. Large Deviations and Applications. CBMS-NSF Regional Conference Series in Mathematics, SIAM, Philadelphia, 1984.
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© 1992 Springer-Verlag
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Dupuis, P. (1992). A numerical method for a calculus of variations problem with discontinuous integrand. In: Karatzas, I., Ocone, D. (eds) Applied Stochastic Analysis. Lecture Notes in Control and Information Sciences, vol 177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007050
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DOI: https://doi.org/10.1007/BFb0007050
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