From fully-packed loops to meanders: Exact exponents

Research output: Contribution to journalConference article

Abstract

We address the meander problem “enumerate all topologically inequivalent configurations of a closed nonselfintersecting plane curve intersecting a given line through a fixed number of points”. We show that meanders may be viewed as the configurations of a suitable fully-packed loop statistical model defined on a random surface. Using standard results relating critical singularities of a lattice model to its gravitational version on random surfaces, we predict the meander configuration exponent α = (29 + 145)/12 and many other meandric exponents.

Original languageEnglish (US)
JournalProceedings of Science
Volume6
StatePublished - Jan 1 2000
Event2000 Non-Perturbative Quantum Effects, TMR 2000 - Paris, France
Duration: Sep 7 2000Sep 13 2000

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Random Surfaces
Exponent
Configuration
Closed curve
Plane Curve
Lattice Model
Statistical Model
Singularity
Predict
Line
Standards

ASJC Scopus subject areas

  • General

Cite this

From fully-packed loops to meanders : Exact exponents. / Di Francesco, Philippe.

In: Proceedings of Science, Vol. 6, 01.01.2000.

Research output: Contribution to journalConference article

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