English

Local asymptotics for the time of first return to the origin of transient random walk

Probability 2011-04-19 v1

Abstract

We consider a transient random walk on ZdZ^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 nn.

Keywords

Cite

@article{arxiv.1104.3191,
  title  = {Local asymptotics for the time of first return to the origin of transient random walk},
  author = {Ron Doney and Dmitry Korshunov},
  journal= {arXiv preprint arXiv:1104.3191},
  year   = {2011}
}