27 citations · 28 across the 9 of their papers we have counts for
15 papers
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…
A Bijection between classes of Fully Packed Loops and Plane Partitions
P. Di Francesco, P. Zinn-Justin, J. -B. Zuber
It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a x b…
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…