P. Francesco

activity

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 2012 · math.COShow all

3 papers · 2 filters

math.CO2012★ 1 cited

Truncated determinants and the refined enumeration of Alternating Sign Matrices and Descending Plane Partitions

Philippe Di Francesco

Lecture notes for the proceedings of the workshop "Algebraic Combinatorics related to Young diagram and statistical physics", Aug. 6-10 2012, I.I.A.S., Nara, Japan.

math.CO2012★ 4 cited

An inhomogeneous Lambda-determinant

P. Di Francesco

We introduce a multi-parameter generalization of the Lambda-determinant of Robbins and Rumsey, based on the cluster algebra with coefficients attached to a T-system recurrence. We…

math.CO2012

T-systems with boundaries from network solutions

Philippe Di Francesco, Rinat Kedem

In this paper, we use the network solution of the $A_{r}$ $T$ -system to derive that of the unrestricted $A_{\infty}$ $T$ -system, equivalent to the octahedron relation. We then present…