Exact Meander Asymptotics: a Numerical Check
  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. 
Philippe Di Francesco, Emmanuel Guitter (SPHT-Saclay) and Jesper Lykke   Jacobsen (LPTMS-Orsay)