Journal of Theoretical Probability

, Volume 19, Issue 3, pp 721–739

Moderate and Small Deviations for the Ranges of One-Dimensional Random Walks


DOI: 10.1007/s10959-006-0032-3

Cite this article as:
Chen, X. J Theor Probab (2006) 19: 721. doi:10.1007/s10959-006-0032-3

We establish moderate and small deviations for the ranges of integer valued random walks. Our theorems apply to the limsup and the liminf laws of the iterated logarithm.


Rangeintersection of rangesrandom walksmoderate deviationsmall deviationlaw of the iterated logarithm

AMS 2000 Subject Classifications


Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TennesseeKnoxvilleUSA