The quenched limiting distributions of a one-dimensional random walk in random scenery
Probability
2013-09-20 v2
Abstract
For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen's functional law of the iterated logarithm. As a consequence, conditioned on the random scenery, the one-dimensional RWRS does not converge in law, in contrast with the multi-dimensional case.
Keywords
Cite
@article{arxiv.1307.2277,
title = {The quenched limiting distributions of a one-dimensional random walk in random scenery},
author = {Nadine Guillotin-Plantard and Yueyun Hu and Bruno Schapira},
journal= {arXiv preprint arXiv:1307.2277},
year = {2013}
}