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Meander Determinants
P. Di Francesco
We prove a determinantal formula for quantities related to the problem of enumeration of (semi-) meanders, namely the topologically inequivalent planar configurations of non-self-i…
Discrete Folding
Mark Bowick, Philippe Di Francesco, Olivier Golinelli +1
Models of folding of a triangular lattice embedded in a discrete space are studied as simple models of the crumpling transition of fixed-connectivity membranes. Both the case of pl…
Folding of the Triangular Lattice with Quenched Random Bending Rigidity
P. Di Francesco, E. Guitter, S. Mori
We study the problem of folding of the regular triangular lattice in the presence of a quenched random bending rigidity + or - K and a magnetic field h (conjugate to the local norm…
Meanders: A Direct Enumeration Approach
P. Di Francesco, O. Golinelli, E. Guitter
We study the statistics of semi-meanders, i.e. configurations of a set of roads crossing a river through n bridges, and possibly winding around its source, as a toy model for compa…
Meanders and the Temperley-Lieb algebra
P. Di Francesco, O. Golinelli, E. Guitter
The statistics of meanders is studied in connection with the Temperley-Lieb algebra. Each (multi-component) meander corresponds to a pair of reduced elements of the algebra. The as…