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4 papers · 2 filters
Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials
P. Di Francesco, P. Zinn-Justin
We prove higher rank analogues of the Razumov--Stroganov sum rule for the groundstate of the O(1) loop model on a semi-infinite cylinder: we show that a weighted sum of components…
Relations between Potts and RSOS models on a torus
Jean-Francois Richard, Jesper Lykke Jacobsen
We study the relationship between Q-state Potts models and staggered RSOS models of the A\_{p-1} type on a torus, with sqrt(Q)=2 cos(pi / p). In general the partition functions of…
The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
Bertrand Eynard
This preprint is the introduction of my habilitation thesis for Paris7 university. It is a sumary of a collection of works on the 2 matrix model. In an introduction, 3 different an…
On positive functions with positive Fourier transforms
B. G. Giraud, R. Peschanski
Using the basis of Hermite-Fourier functions (i.e. the quantum oscillator eigenstates) and the Sturm theorem, we derive the practical constraints for a function and its Fourier tra…