%0 Journal Article %T Local asymptotics for the time of first return to the origin of transient random walk %A Ron Doney %A Dmitry Korshunov %J Mathematics %D 2011 %I arXiv %X We consider a transient random walk on $Z^d$ which is asymptotically stable, without centering, in a sense which allows different norming for each component. The paper is devoted to the asymptotics of the probability of the first return to the origin of such a random walk at time $n$. %U http://arxiv.org/abs/1104.3191v1