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@article{THSP_2009_15_2_a9, author = {Ivan H. Krykun}, title = {Large deviation principle for stochastic equations with local time}, journal = {Teori\^a slu\v{c}ajnyh processov}, pages = {140--155}, publisher = {mathdoc}, volume = {15}, number = {2}, year = {2009}, language = {en}, url = {http://geodesic.mathdoc.fr/item/THSP_2009_15_2_a9/} }
Ivan H. Krykun. Large deviation principle for stochastic equations with local time. Teoriâ slučajnyh processov, Tome 15 (2009) no. 2, pp. 140-155. http://geodesic.mathdoc.fr/item/THSP_2009_15_2_a9/
[1] T. S. Chiang, S. J. Sheu, “Large deviations of diffusion processes with discontinuous drift and their occupation times”, Ann. Probab., 28 (2000), 140–165
[2] T. S. Chiang, S .J. Sheu, “Small perturbations of diffusions in inhomogeneous media”, Ann. Inst. Henri Poincaré, 38:3 (2002), 285–318
[3] H. J. Engelbert, W. Schmid, “Strong Markov continuous local martingales and solutions of one-dimensional stochastic differential equations, III”, Math. Nachr., 151 (1991), 149–197
[4] M. I. Freidlin, A. D. Wentzel, Random Perturbation of Dynamical Systems, Springer, New York, 1984
[5] I. I. Gikhman, A. V. Skorohod, Stochastic Differential Equations and Their Applications, Naukova Dumka, Kyiv, 1982 (in Russian)
[6] J. M. Harrison, L. A. Shepp, “On skew Brownian motion”, Ann. Probab., 9:2 (1981), 309–313
[7] J. Jacod, A. N. Shiryaev, Limit Theorems for Stochastic Processes, Springer, New York, 1987
[8] I. H. Krykun, “A limit theorem for solutions of stochastic equations with local time”, Proceedings of IAMM NAS of Ukraine, 10 (2005), 120–130
[9] J. F. Le Gall, “One dimensional stochastic differential equations involving the local times of the unknown process”, Lecture Notes in Mathematics, 1095, Springer, Berlin, 1983, 51–82
[10] S. Ya. Makhno, “A limit theorem for solutions of stochastic equations with local time”, Theory Probab. Appl., 48 (2003), 164–169
[11] A. Pukhalskii, Large Devitions and Idempotent Probability, Chapman/CRC Press, London–New York, 2001
[12] A. Pukhalskii, “On functional principle of large deviations”, New Trends in Probability and Statistics, VSP, Vilnius, 1991
[13] D. Revuz, M. Yor, Continuous Martingales and Brownian Motion, Springer, Berlin, 1991
[14] A. Y. Veretennikov, “On strong solutions of stochastic equations”, Theory Probab. Appl., 4 (1979), 348–360