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arXiv · 1105.5863

The hitting distribution of a line segment for two dimensional random walks

Kôhei Uchiyama
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Abstract

Asymptotic estimates of the hitting distribution of a long segment on the real axis for two dimensional random walks on ${\bf Z}^2$ of zero mean and finite variances are obtained: some are general and exhibit its apparent similarity to the corresponding Brownian density, while others are so detailed as to involve certain characteristics of the random walk.

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Kôhei Uchiyama. 2015-07-10. The hitting distribution of a line segment for two dimensional random walks. https://doi.org/10.1007/s10959-015-0629-5.

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