Mathematica Eterna

Mathematica Eterna
Open Access

ISSN: 1314-3344



Moderate deviations for one-dimensional random walk in random scenery.

Yanqing Wang

In this paper, we investigate the moderate deviations for one di- mensional random walks in independent, identically distributed random sceneries. Our approach is based on the Gatner-Ellis theorem. As an application, we get the corresponding law of the iterated logarithm.