Exact Meander Asymptotics: a Numerical Check
arXiv:cond-mat/0003008 · doi:10.1016/S0550-3213(00)00273-X
Abstract
This note addresses the meander enumeration problem: "Count all topologically inequivalent configurations of a closed planar non self-intersecting curve crossing a line through a given number of points". We review a description of meanders introduced recently in terms of the coupling to gravity of a two-flavored fully-packed loop model. The subsequent analytic predictions for various meandric configuration exponents are checked against exact enumeration, using a transfer matrix method, with an excellent agreement.
48 pages, 24 figures, tex, harvmac, epsf