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19922021
most citedQuantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials

84 citations · 521 across the 32 of their papers we have counts for

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Showing 2004 · math-phShow all

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math-ph2004

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…

math-ph2004

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.

math-ph2004★ 45 cited

2D Quantum Gravity, Matrix Models and Graph Combinatorics

P. Di Francesco

Lecture notes given at the summer school ``Applications of random matrices to physics", Les Houches, June 2004.