### 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 language | English (US) |
---|---|

Journal | Proceedings of Science |

Volume | 6 |

State | Published - Jan 1 2000 |

Event | 2000 Non-Perturbative Quantum Effects, TMR 2000 - Paris, France Duration: Sep 7 2000 → Sep 13 2000 |

### Fingerprint

### ASJC Scopus subject areas

- General

### Cite this

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

Research output: Contribution to journal › Conference article

}

TY - JOUR

T1 - From fully-packed loops to meanders

T2 - Exact exponents

AU - Di Francesco, Philippe

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85057594350&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057594350&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85057594350

VL - 6

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -