2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74411For 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.ProbabilityA random walk proof of the Erdos-Taylor conjecturetext