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arXiv · 1311.0695

Random walk on a diagonal lattice with absorbing boundaries

T. J. van Uem
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Abstract

We consider a discrete random walk on a diagonal lattice in two and three dimensions and obtain explicit solutions of absorption probabilities and probabilities of return in several domains. In three dimensions we consider both the cube and the dodecahedron variant. In two dimensions we obtain explicit formula in case of rotated barriers.

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T. J. van Uem. 2013-11-04. Random walk on a diagonal lattice with absorbing boundaries. https://arxiv.org/abs/1311.0695

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