P. Di Francesco

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19912026

most cited2D Gravity and Random Matrices

1.3k citations · 3k across the 62 of their papers we have counts for

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3 papers · 1 filter

math-ph2010★ 11 cited

Discrete integrable systems, positivity, and continued fraction rearrangements

Philippe Di Francesco

In this review article, we present a unified approach to solving discrete, integrable, possibly non-commutative, dynamical systems, including the $Q$ - and $T$ -systems based on $A_r…

math-ph2010★ 34 cited

Noncommutative integrability, paths and quasi-determinants

Philippe Di Francesco, Rinat Kedem

In previous work, we showed that the solution of certain systems of discrete integrable equations, notably $Q$ and $T$ -systems, is given in terms of partition functions of positive…

math.CO2010★ 9 cited

The solution of the $A_{r}$ T-system for arbitrary boundary

P. Di Francesco

We present an explicit solution of the $A_{r}$ $T$ -system for arbitrary boundary conditions. For each boundary, this is done by constructing a network, i.e. a graph with positively w…

Discrete integrable systems, positivity, and continued fraction rearrangements

Noncommutative integrability, paths and quasi-determinants

The solution of the Ar​ T-system for arbitrary boundary

The solution of the $A_{r}$ T-system for arbitrary boundary