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Resumen de An LIL for cover times of disks by planar random walk and Wiener sausage

J. Ben Hough, Yuval Peres

  • Let be the radius of the largest disk covered after steps of a simple random walk. We prove that almost surely where denotes 3 iterations of the function. This is motivated by a question of Erdos and Taylor. We also obtain the analogous result for the Wiener sausage, refining a result of Meyre and Werner.


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