Windings of planar random walks and averaged Dehn function

Details Windings of planar random walks and averaged Dehn function Windings of planar random walks and averaged Dehn function

2008-07-14

arxiv.org/abs/0807.2192v3

Mathematics

Probability

Scientific paper

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.

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