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.
@article{bwmeta1.element.bwnjournal-article-fmv147i2p173bwm,
author = {Yakov Sinai},
title = {A remark concerning random walks with random potentials},
journal = {Fundamenta Mathematicae},
volume = {146},
year = {1995},
pages = {173-180},
zbl = {0835.60062},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv147i2p173bwm}
}
Sinai, Yakov. A remark concerning random walks with random potentials. Fundamenta Mathematicae, Tome 146 (1995) pp. 173-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv147i2p173bwm/
[00000] [1] E. Bolthausen, A note on the diffusion of directed polymers in a random environment, Comm. Math. Phys. 123 (1989), 529-534. | Zbl 0684.60013
[00001] [2] J. G. Conlon and P. A. Olson, A Brownian motion version of directed polymer problem, preprint, University of Michigan, 1994.
[00002] [3] J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys. 52 (1988), 609-626. | Zbl 1084.82595