Limit distribution for 1-dimensional diffusion in a reflected brownian medium
Tanaka, Hiroshi
Séminaire de probabilités de Strasbourg, Tome 21 (1987), p. 246-261 / Harvested from Numdam
@article{SPS_1987__21__246_0,
     author = {Tanaka, Hiroshi},
     title = {Limit distribution for 1-dimensional diffusion in a reflected brownian medium},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {21},
     year = {1987},
     pages = {246-261},
     mrnumber = {941988},
     zbl = {0616.60074},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/SPS_1987__21__246_0}
}
Tanaka, Hiroshi. Limit distribution for 1-dimensional diffusion in a reflected brownian medium. Séminaire de probabilités de Strasbourg, Tome 21 (1987) pp. 246-261. http://gdmltest.u-ga.fr/item/SPS_1987__21__246_0/

[1] T. Brox, A one-dimensional diffusion process in a Wiener medium, to appear in Ann. Probab. | MR 866343 | Zbl 0608.60072

[2] A.O. Golosov, The limit distributions for random walks in random environments, Soviet Math. Dokl., 28(1983), 18-22. | MR 712545

[3] N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North-Holland, 1981. | MR 637061 | Zbl 0495.60005

[4] K. Itô and H.P. Mckean, Diffusion Processes and Their Sample Paths, Springer-Verlag, 1965. | Zbl 0127.09503

[5] K. Kawazu, Y. Tamura and H. Tanaka, One-dimensional diffusions and random walks in random environments, in preparation.

[6] H. Kesten, The limit distribution of Sinai's random walk in random environment, to appear in Physica. | MR 865247 | Zbl 0666.60065

[7] S. Schumacher, Diffusions with random coefficients, Contemporary Math. (Particle Systems, Random Media and Large Deviations, ed. by R. Durrett), 41(1985), 351-356. | MR 814724 | Zbl 0572.60053

[8] Y.G. Sinai, The limiting behavior of a one-dimensional random walk in a random medium, Theory of Probab. and its Appl. 27(1982), 256-268. | MR 657919 | Zbl 0505.60086

[9] H. Tanaka, Limit distributions for one-dimensional diffusion processes in self-similar random environments, to appear in the Proc. of the workshop on Hydrodynamic behavior and interacting particle systems and applications held at IMA, University of Minnesota, March 1986. | MR 914995 | Zbl 0653.60072