@article{AIHPB_2005__41_1_107_0, author = {Doney, R. A. and Zhang, T.}, title = {Perturbed {Skorohod} equations and perturbed reflected diffusion processes}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {107--121}, publisher = {Elsevier}, volume = {41}, number = {1}, year = {2005}, doi = {10.1016/j.anihpb.2004.03.005}, mrnumber = {2110448}, zbl = {1061.60056}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.005/} }
TY - JOUR AU - Doney, R. A. AU - Zhang, T. TI - Perturbed Skorohod equations and perturbed reflected diffusion processes JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 107 EP - 121 VL - 41 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.005/ DO - 10.1016/j.anihpb.2004.03.005 LA - en ID - AIHPB_2005__41_1_107_0 ER -
%0 Journal Article %A Doney, R. A. %A Zhang, T. %T Perturbed Skorohod equations and perturbed reflected diffusion processes %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 107-121 %V 41 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.005/ %R 10.1016/j.anihpb.2004.03.005 %G en %F AIHPB_2005__41_1_107_0
Doney, R. A.; Zhang, T. Perturbed Skorohod equations and perturbed reflected diffusion processes. Annales de l'I.H.P. Probabilités et statistiques, Volume 41 (2005) no. 1, pp. 107-121. doi : 10.1016/j.anihpb.2004.03.005. http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.005/
[1] Some extentions of the arcsine law as (partial) consequences of the scaling property of Brownian motion, Probab. Theory Related Fields 100 (1994) 1-29. | MR | Zbl
, , ,[2] Beta variables as times spent in by certain perturbed Brownian motions, J. London Math. Soc. 58 (1998) 239-256. | Zbl
, , ,[3] Pathwise uniqueness for perturbed versions of Brownian motion and reflected Brownian motion, Probab. Theory Related Fields 113 (1999) 519-534. | MR | Zbl
, ,[4] Some calculations for doubly perturbed Brownian motion, Stochastic Process. Appl. 85 (1) (2000) 61-74. | MR | Zbl
, ,[5] Weak limits of perturbed random walks and the equation , Ann. Probab. 24 (1996) 2007-2023. | Zbl
,[6] Brownian motion and random walk perturbed at extrema, Probab. Theory Related Fields 113 (1999) 501-518. | MR | Zbl
,[7] Some calculations for perturbed Brownian motion, in: Seminaire de Probabilites XXXII, Lecture Notes in Mathematics, 1998, pp. 231-236. | Numdam | MR | Zbl
,[8] Stochastic Differential Equations and Diffusion Processes, North-Holland/Kodansha, 1989. | MR | Zbl
, ,[9] Excursions browniennes et carrés de processus de Bessel, C. R. Acad. Sci. Paris Sér. I 303 (1986) 73-76. | MR | Zbl
, ,[10] Enlacements du mouvement brownien autour des courbes de l'espace, Trans. Amer. Math. Soc. 317 (1990) 687-7722. | MR | Zbl
, ,[11] Stochastic differential equations with reflecting boundary conditions, Comm. Pure Appl. Math. 37 (1984) 511-537. | MR | Zbl
, ,[12] Perturbed Brownian motions, Probab. Theory Related Fields 108 (1997) 357-383. | MR | Zbl
, ,[13] Continuous Martingales and Brownian Motion, Springer, Berlin, 1994. | MR | Zbl
, ,[14] Some remarks on perturbed Brownian motion, in: Seminaire de Probabilites XXIX, Lecture Notes in Mathematics, vol. 1613, 1995, pp. 37-43. | Numdam | MR | Zbl
,[15] On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary, Stochastic Process. Appl. 50 (1994) 135-147. | MR | Zbl
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