%0 Journal Article
%T On a directionally reinforced random walk
%A Arka Ghosh
%A Reza Rasxtegar
%A Alexander Roitershtein
%J Mathematics
%D 2011
%I arXiv
%X We consider a generalized version of a directionally reinforced random walk, which was originally introduced by Mauldin, Monticino, and von Weizs\"{a}cker in \cite{drw}. Our main result is a stable limit theorem for the position of the random walk in higher dimensions. This extends a result of Horv\'{a}th and Shao \cite{limits} that was previously obtained in dimension one only (however, in a more stringent functional form).
%U http://arxiv.org/abs/1111.1253v1