# Limit distribution for 1-dimensional diffusion in a reflected brownian medium

Séminaire de probabilités de Strasbourg (1987)

- Volume: 21, page 246-261

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topTanaka, Hiroshi. "Limit distribution for 1-dimensional diffusion in a reflected brownian medium." Séminaire de probabilités de Strasbourg 21 (1987): 246-261. <http://eudml.org/doc/113596>.

@article{Tanaka1987,

author = {Tanaka, Hiroshi},

journal = {Séminaire de probabilités de Strasbourg},

keywords = {reflecting Brownian motions; self-similar random environments; random walks in random environments},

language = {fre},

pages = {246-261},

publisher = {Springer - Lecture Notes in Mathematics},

title = {Limit distribution for 1-dimensional diffusion in a reflected brownian medium},

url = {http://eudml.org/doc/113596},

volume = {21},

year = {1987},

}

TY - JOUR

AU - Tanaka, Hiroshi

TI - Limit distribution for 1-dimensional diffusion in a reflected brownian medium

JO - Séminaire de probabilités de Strasbourg

PY - 1987

PB - Springer - Lecture Notes in Mathematics

VL - 21

SP - 246

EP - 261

LA - fre

KW - reflecting Brownian motions; self-similar random environments; random walks in random environments

UR - http://eudml.org/doc/113596

ER -

## References

top- [1] T. Brox, A one-dimensional diffusion process in a Wiener medium, to appear in Ann. Probab. Zbl0608.60072MR866343
- [2] A.O. Golosov, The limit distributions for random walks in random environments, Soviet Math. Dokl., 28(1983), 18-22. MR712545
- [3] N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North-Holland, 1981. Zbl0495.60005MR637061
- [4] K. Itô and H.P. McKean, Diffusion Processes and Their Sample Paths, Springer-Verlag, 1965. Zbl0127.09503
- [5] K. Kawazu, Y. Tamura and H. Tanaka, One-dimensional diffusions and random walks in random environments, in preparation. Zbl0637.60091
- [6] H. Kesten, The limit distribution of Sinai's random walk in random environment, to appear in Physica. Zbl0666.60065MR865247
- [7] S. Schumacher, Diffusions with random coefficients, Contemporary Math. (Particle Systems, Random Media and Large Deviations, ed. by R. Durrett), 41(1985), 351-356. Zbl0572.60053MR814724
- [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. Zbl0505.60086MR657919
- [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. Zbl0653.60072MR914995

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