# A remark concerning random walks with random potentials

Fundamenta Mathematicae (1995)

- Volume: 147, Issue: 2, page 173-180
- ISSN: 0016-2736

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topSinai, Yakov. "A remark concerning random walks with random potentials." Fundamenta Mathematicae 147.2 (1995): 173-180. <http://eudml.org/doc/212081>.

@article{Sinai1995,

abstract = {We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.},

author = {Sinai, Yakov},

journal = {Fundamenta Mathematicae},

keywords = {random potentials; random walks; symmetric random walks},

language = {eng},

number = {2},

pages = {173-180},

title = {A remark concerning random walks with random potentials},

url = {http://eudml.org/doc/212081},

volume = {147},

year = {1995},

}

TY - JOUR

AU - Sinai, Yakov

TI - A remark concerning random walks with random potentials

JO - Fundamenta Mathematicae

PY - 1995

VL - 147

IS - 2

SP - 173

EP - 180

AB - We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.

LA - eng

KW - random potentials; random walks; symmetric random walks

UR - http://eudml.org/doc/212081

ER -

## References

top- [1] E. Bolthausen, A note on the diffusion of directed polymers in a random environment, Comm. Math. Phys. 123 (1989), 529-534. Zbl0684.60013
- [2] J. G. Conlon and P. A. Olson, A Brownian motion version of directed polymer problem, preprint, University of Michigan, 1994.
- [3] J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys. 52 (1988), 609-626. Zbl1084.82595

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