Abstract
For every two-dimensional random walk on the square lattice Z2 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.
Note
An erratum to this article can be found at http://dx.doi.org/10.1007/s11512-011-0162-4
Citation
Kôhei Uchiyama. "The hitting distributions of a half real line for two-dimensional random walks." Ark. Mat. 48 (2) 371 - 393, October 2010. https://doi.org/10.1007/s11512-009-0096-2
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