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The hitting distributions of a half real line for two-dimensional random walks

Kôhei Uchiyama Department of Mathematics, Tokyo Institute of Technology

TBD mathscidoc:1701.333176

Arkiv for Matematik, 48, (2), 371-393, 2008.6
For every two-dimensional random walk on the square lattice$Z$^{2}having zero mean and finite variance we obtain fine asymptotic estimates of the probability that the walk hits the negative real line for the first time at a site ($s$,0), when it is started at a site far from both (0,$s$) and the origin.
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@inproceedings{kôhei2008the,
  title={The hitting distributions of a half real line for two-dimensional random walks},
  author={Kôhei Uchiyama},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203628102854985},
  booktitle={Arkiv for Matematik},
  volume={48},
  number={2},
  pages={371-393},
  year={2008},
}
Kôhei Uchiyama. The hitting distributions of a half real line for two-dimensional random walks. 2008. Vol. 48. In Arkiv for Matematik. pp.371-393. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203628102854985.
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