Windings of planar random walks and averaged Dehn function
Probability
2009-12-07 v3 Group Theory
Geometric Topology
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
Cite
@article{arxiv.0807.2192,
title = {Windings of planar random walks and averaged Dehn function},
author = {Bruno Schapira and Robert Young},
journal= {arXiv preprint arXiv:0807.2192},
year = {2009}
}