Exact meander asymptotic: a numerical check

Citation
P. Di Francesco et al., Exact meander asymptotic: a numerical check, NUCL PHYS B, 580(3), 2000, pp. 757-795
Citations number
39
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
580
Issue
3
Year of publication
2000
Pages
757 - 795
Database
ISI
SICI code
0550-3213(20000807)580:3<757:EMAANC>2.0.ZU;2-Q
Abstract
This note addresses the meander enumeration problem: "count all topological ly inequivalent configurations of a closed planar non self-intersecting cur ve crossing a line through a given number of points". We review a descripti on 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 enum eration, using a transfer matrix method, with an excellent agreement. (C) 2 000 Elsevier Science B.V. All rights reserved.