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A random walk proof of the Erdős-Taylor conjecture

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For the simple random walk in <InlineEquation ID=IE”1”><EquationSource Format=”TEX”><![CDATA[<InlineEquation ID=IE”2”><EquationSource Format=”TEX”><![CDATA[$]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>\mathbb{Z}^2$ we study those points which are visited an unusually large number of times, and provide a new proof of the Erdős-Taylor Conjecture describing the number of visits to the most visited point.

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  1. Department of Mathematics College of Staten Island, CUNY, Staten Island, NY 10314 USA

    Jay Rosen

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  1. Jay Rosen
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Rosen, J. A random walk proof of the Erdős-Taylor conjecture. Period Math Hung 50, 223–245 (2005). https://doi.org/10.1007/s10998-005-0014-8

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  • DOI: https://doi.org/10.1007/s10998-005-0014-8

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