45 citations · 71 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Random trees between two walls: Exact partition function
J. Bouttier, P. Di Francesco, E. Guitter
We derive the exact partition function for a discrete model of random trees embedded in a one-dimensional space. These trees have vertices labeled by integers representing their po…
Geometrically Constrained Statistical Models on Fixed and Random Lattices: From Hard Squares to Meanders
P. Di Francesco
We review various combinatorial applications of field theoretical and matrix model approaches to equilibrium statistical physics involving the enumeration of fixed and random latti…