167 citations · 338 across the 8 of their papers we have counts for
8 papers
-Difference Equations for two classes of Pattern Avoiding Permutations
Paul Zinn-Justin
We study the nested permutation classes . We relate the corresponding generating functions , to -difference equ…
Six-Vertex, Loop and Tiling models: Integrability and Combinatorics
P. Zinn-Justin, Paul Zinn-Justin
This is a review (including some background material) of the author's work and related activity on certain exactly solvable statistical models in two dimensions, including the six-…
Thermodynamic limit of the Six-Vertex Model with Domain Wall Boundary Conditions
V. Korepin, P. Zinn-Justin
We address the question of the dependence of the bulk free energy on boundary conditions for the six vertex model. Here we compare the bulk free energy for periodic and domain wall…
The six-vertex model on random lattices
P. Zinn-Justin
In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov) as a deformation of the O(2) model. In the large N…
Some Matrix Integrals related to Knots and Links
P. Zinn-Justin
The study of a certain class of matrix integrals can be motivated by their interpretation as counting objects of knot theory such as alternating prime links, tangles or knots. The…
Adding and multiplying random matrices: a generalization of Voiculescu's formulae
P. Zinn-Justin
In this paper, we give an elementary proof of the additivity of the functional inverses of the resolvents of large random matrices, using recently developed matrix model techni…
The generalized multi-channel Kondo model: Thermodynamics and fusion equations
N. Andrei, P. Zinn-Justin
The SU(N) generalization of the multi-channel Kondo model with arbitrary rectangular impurity representations is considered by means of the Bethe Ansatz. The thermodynamics of the…
Non-Linear Integral Equations for complex Affine Toda associated to simply laced Lie algebras
P. Zinn-Justin
A set of coupled non-linear integral equations is derived for a class of models connected with the quantum group ( simply laced Lie algebra), which are solvable us…