Windings of planar random walks and averaged Dehn functionReport as inadecuate




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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay 2 IHES - Institut des Hautes Etudes Scientifiques

Abstract : We prove a sharp estimate on the expected value of the integral of the index of a simple random walk on the square or triangular lattice. This gives new lower bounds on the averaged Dehn function, which measures the expected area needed to fill a random curve with a disc.

Keywords : simple random walk winding number averaged Dehn function





Author: Bruno Schapira - Robert Young -

Source: https://hal.archives-ouvertes.fr/



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