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.
Original language | English (US) |
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Pages (from-to) | 757-795 |
Number of pages | 39 |
Journal | Nuclear Physics B |
Volume | 580 |
Issue number | 3 |
DOIs | |
State | Published - Aug 7 2000 |
Externally published | Yes |
Keywords
- 02.10.Eb
- 04.60.Nc
- 05.20.-y
- 2D quantum gravity
- Coulomb gas
- Fully packed loop models
- Meanders
- Transfer matrix
ASJC Scopus subject areas
- Nuclear and High Energy Physics