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Article Dans Une Revue Nuclear Physics B Année : 2000

Exact Meander Asymptotics: a Numerical Check

Résumé

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.

Dates et versions

hal-00003823 , version 1 (07-01-2005)

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Philippe Di Francesco, Emmanuel Guitter, Jesper Lykke Jacobsen. Exact Meander Asymptotics: a Numerical Check. Nuclear Physics B, 2000, 580, pp.757-795. ⟨hal-00003823⟩
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