45 citations · 71 across the 9 of their papers we have counts for
12 papers
Geodesic Distance in Planar Graphs: An Integrable Approach
P. Di Francesco
We discuss the enumeration of planar graphs using bijections with suitably decorated trees, which allow for keeping track of the geodesic distances between faces of the graph. The…
Geometrically constrained statistical systems on regular and random lattices: From folding to meanders
P. Di Francesco, E. Guitter
We review a number a recent advances in the study of two-dimensional statistical models with strong geometrical constraints. These include folding problems of regular and random la…
Inhomogenous model of crossing loops and multidegrees of some algebraic varieties
P. Di Francesco, P. Zinn-Justin
We consider a quantum integrable inhomogeneous model based on the Brauer algebra B(1) and discuss the properties of its ground state eigenvector. In particular we derive various su…
Determinant Formulae for some Tiling Problems and Application to Fully Packed Loops
P. Di Francesco, P. Zinn-Justin, J. -B. Zuber
We present determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration.
2D Quantum Gravity, Matrix Models and Graph Combinatorics
P. Di Francesco
Lecture notes given at the summer school ``Applications of random matrices to physics", Les Houches, June 2004.
Planar maps as labeled mobiles
J. Bouttier, P. Di Francesco, E. Guitter
We extend Schaeffer's bijection between rooted quadrangulations and well-labeled trees to the general case of Eulerian planar maps with prescribed face valences, to obtain a biject…