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Folding Transitions of the Square-Diagonal Lattice
P. Di Francesco
We address the problem of "phantom" folding of the tethered membrane modelled by the two-dimensional square lattice, with bonds on the edges and diagonals of each face. Introducing…
Coloring Random Triangulations
P. Di Francesco, B. Eynard, E. Guitter
We introduce and solve a two-matrix model for the tri-coloring problem of the vertices of a random triangulation. We present three different solutions: (i) by orthogonal polynomial…
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…
Three-dimensional Folding of the Triangular Lattice
M. Bowick, P. Di Francesco, O. Golinelli +1
We study the folding of the regular triangular lattice in three dimensional embedding space, a model for the crumpling of polymerised membranes. We consider a discrete model, where…
Folding Transition of the Triangular Lattice
P. Di Francesco, E. Guitter
We study the problem of folding of the regular triangular lattice in the presence of bending rigidity K and magnetic field h (conjugate to the local normal vectors to the triangles…
Entropy of Folding of the Triangular Lattice
P. Di Francesco, E. Guitter
The problem of counting the different ways of folding the planar triangular lattice is shown to be equivalent to that of counting the possible 3-colorings of its bonds, a dual vers…