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Direct estimates on intersection probabilities of random walks

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Abstract

A study is made of intersection properties of independent random walks ind-dimensional lattice spaceZ d. A simple method is developed which makes it possible to estimate intersection probalities of two random walks with killing ratem directly. It is expected that the method can be generalized and extended to other issues.

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Moon Park, Y. Direct estimates on intersection probabilities of random walks. J Stat Phys 57, 319–331 (1989). https://doi.org/10.1007/BF01023646

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