27 citations · 28 across the 11 of their papers we have counts for
11 papers · 1 filter
Quantum Knizhnik-Zamolodchikov Equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices
P. Di Francesco, P. Zinn-Justin
We present multiresidue formulae for partial sums in the basis of link patterns of the polynomial solution to the level 1 U_q(\hat sl_2) quantum Knizhnik--Zamolodchikov equation at…
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.
Algebraic Bethe Ansatz for the FPL^2 model
Jesper Lykke Jacobsen, Paul Zinn-Justin
An exact solution of the model of fully packed loops of two colors on a square lattice has recently been proposed by Dei Cont and Nienhuis using the coordinate Bethe Ansatz approac…
Matrix Integrals and the Generation and Counting of Virtual Tangles and Links
P. Zinn-Justin, J. -B. Zuber
Virtual links are generalizations of classical links that can be represented by links embedded in a ``thickened'' surface , product of a Riemann surface of genus wit…
On the Asymptotic Number of Plane Curves and Alternating Knots
Gilles Schaeffer, Paul Zinn-Justin
We present a conjecture for the power-law exponent in the asymptotic number of types of plane curves as the number of self-intersections goes to infinity. In view of the descriptio…