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A random walk proof of the Erdos-Taylor conjecture

Jay Rosen
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Abstract

For the simple random walk in Z^2 we study those points which are visited an unusually large number of times, and provide a new proof of the Erdos-Taylor conjecture describing the number of visits to the most visited point.

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Jay Rosen. 2005-03-06. A random walk proof of the Erdos-Taylor conjecture. https://arxiv.org/abs/math/0503108

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