84 citations · 521 across the 32 of their papers we have counts for
6 papers · 1 filter
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.
A refined Razumov-Stroganov conjecture
P. Di Francesco
We extend the Razumov-Stroganov conjecture relating the groundstate of the O(1) spin chain to alternating sign matrices, by relating the groundstate of the monodromy matrix of the…
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…
On FPL configurations with four sets of nested arches
P. Di Francesco, J. -B. Zuber
The problem of counting the number of Fully Packed Loop (FPL) configurations with four sets of a,b,c,d nested arches is addressed. It is shown that it may be expressed as the probl…