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Meanders: Exact Asymptotics
P. Di Francesco, O. Golinelli, E. Guitter
We conjecture that meanders are governed by the gravitational version of a c=-4 two-dimensional conformal field theory, allowing for exact predictions for the meander configuration…
Integrable 2D Lorentzian Gravity and Random Walks
P. Di Francesco, E. Guitter, C. Kristjansen
We introduce and solve a family of discrete models of 2D Lorentzian gravity with higher curvature, which possess mutually commuting transfer matrices, and whose spectral parameter…
Fully Packed O(n=1) Model on Random Eulerian Triangulations
P. Di Francesco, E. Guitter, C. Kristjansen
We introduce a matrix model describing the fully-packed O(n) model on random Eulerian triangulations (i.e. triangulations with all vertices of even valency). For n=1 the model is m…