8 citations · 12 across the 3 of their papers we have counts for
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math-ph2009★ 8 cited
Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich
P. Di Francesco, R. Kedem
We prove a conjecture of Kontsevich regarding the solutions of rank two recursion relations for non-commutative variables which, in the commutative case, reduce to rank two cluster…
math-ph2009★ 4 cited
Asymptotic shapes with free boundaries
P Di Francesco, N. Reshetikhin
We study limit shapes for dimer models on domains of the hexagonal lattice with free boundary conditions. This is equivalent to the large deviation phenomenon for a random stepped…
math-ph2006★ 33 cited
Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups
A. Prats Ferrer, B. Eynard, P. Di Francesco +1
The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…