Numerical studies of planar closed random walks
Statistical Mechanics
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
Lattice numerical simulations for planar closed random walks and their winding sectors are presented. The frontiers of the random walks and of their winding sectors have a Hausdorff dimension . However, when properly defined by taking into account the inner 0-winding sectors, the frontiers of the random walks have a Hausdorff dimension .
Keywords
Cite
@article{arxiv.0804.1002,
title = {Numerical studies of planar closed random walks},
author = {Jean Desbois and Stephane Ouvry},
journal= {arXiv preprint arXiv:0804.1002},
year = {2009}
}
Comments
15 pages, 15 figures