@article{AIHPB_2002__38_3_285_0,
author = {Chiang, Tzuu-Shuh and Sheu, Shuenn-Jyi},
title = {Small perturbation of diffusions in inhomogeneous media},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {285--318},
year = {2002},
publisher = {Elsevier},
volume = {38},
number = {3},
mrnumber = {1899455},
zbl = {1002.60070},
language = {en},
url = {https://www.numdam.org/item/AIHPB_2002__38_3_285_0/}
}
TY - JOUR AU - Chiang, Tzuu-Shuh AU - Sheu, Shuenn-Jyi TI - Small perturbation of diffusions in inhomogeneous media JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2002 SP - 285 EP - 318 VL - 38 IS - 3 PB - Elsevier UR - https://www.numdam.org/item/AIHPB_2002__38_3_285_0/ LA - en ID - AIHPB_2002__38_3_285_0 ER -
Chiang, Tzuu-Shuh; Sheu, Shuenn-Jyi. Small perturbation of diffusions in inhomogeneous media. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 3, pp. 285-318. https://www.numdam.org/item/AIHPB_2002__38_3_285_0/
[1] , , On large deviations of Markov processes with discontinuous statistics, Ann. Appl. Probab. 8 (1998) 45-66. | Zbl | MR
[2] , , On large deviations in load sharing network, Ann. Appl. Probab. 8 (1998) 67-97. | Zbl | MR
[3] , Probabilités de Saint-Flour VIII, in: Lecture Notes in Mathematics, 774, 1980, pp. 1-176. | Zbl | MR
[4] , , Melanges d'équations differentialles et grands écarts à la loi des grand nombres, Z. Wahrsch. Verw. Gebiete 38 (1977) 1-54. | Zbl | MR
[5] , , Process level large deviations for a class of piecewise homogeneous random walks, in: The Dynkin Festschrift: Markov Processes and Their Applications, 1994, pp. 1-59. | Zbl | MR
[6] , , , Large deviations for diffusions with discontinuous statistics, Probab. Theory Related Fields 116 (2000) 125-149. | Zbl | MR
[7] , , Large deviations of small perturbation of some unstable systems, Stochastic Anal. Appl. 15 (1997) 31-50. | Zbl | MR
[8] , , Large deviations of diffusion processes with discontinuous drift and their occupation times, Ann. Probab. 28 (2000) 140-165. | Zbl | MR
[9] , , Large Deviations Techniques and Applications, Jones and Bartlett, 1992. | Zbl | MR
[10] , , Large deviations for Markov process with discontinuous statistics. II: Random walks, Probab. Theory Related Fields 91 (1992) 153-194. | Zbl | MR
[11] , , The large deviation principle for a general class of queueing systems I, Trans. AMS 347 (1995) 2689-2751. | Zbl | MR
[12] , , A Weak Convergence Approach to the Theory of Large Deviations, Wiley, 1997. | Zbl | MR
[13] , , Diffusion processes on graphs: stochastic differential equations, large deviation principle, Probab. Theory Related Fields 116 (2000) 181-220. | Zbl | MR
[14] , , Random Perturbations of Dynamical Systems, Springer-Verlag, 1984. | Zbl | MR
[15] , , Stochastic Differential Equations and Diffusion Processes, North-Holland, 1981. | Zbl | MR
[16] , , Actional functional for diffusion process with discontinuous drift, Theory Probab. Appl. 37 (1992) 543-550. | Zbl | MR
[17] , , Actional functional for diffusions in discontinuous media, Probab. Theory Related Fields 94 (1992) 317-333. | Zbl | MR
[18] , Grandes déviations pour les processus d'apprentissages lent à statistiques discontinues sur une surface, Thèse de Docteur en Sciences, Université Paris XI Orsay, U.F.R. Scientique d'Orsay, 1995.
[19] , Positive Harmonic Functions and Diffusion, Cambridge Studies in Advanced Mathematics, 45, 1995. | Zbl | MR
[20] , Some asymptotic formulae for Wiener integrals, Trans. Amer. Math. Soc. 125 (1966) 63-85. | Zbl | MR
[21] , Lectures on Diffusion Problems and Partial Differential Equations, TATA Institute of Fundament Research, Bombay, 1980. | Zbl | MR
[22] , Large Deviations and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 1984. | MR
[23] , Sur la continuité des temps locaux associés à certaines semi-martingales, in: Astérique, 52-53, Société Mathématique de France, 1978, pp. 23-35.





