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arxiv: cond-mat/0003008 · v1 · submitted 2000-03-01 · ❄️ cond-mat.stat-mech

Exact Meander Asymptotics: a Numerical Check

classification ❄️ cond-mat.stat-mech
keywords enumerationexactmeanderaddressesagreementanalyticasymptoticscheck
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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.

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