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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.CO2009
Positivity of the T-system cluster algebra
P. Di Francesco, R. Kedem
We give the path model solution for the cluster algebra variables of the -system with generic boundary conditions. The solutions are partition functions of (strongly) non-…