84 citations · 521 across the 32 of their papers we have counts for
34 papers
Twenty Vertex model and domino tilings of the Aztec triangle
Philippe Di Francesco
We show that the number of configurations of the 20 Vertex model on certain domains with domain wall type boundary conditions is equal to the number of domino tilings of Aztec-like…
Twenty-Vertex model with domain wall boundaries and domino tilings
Philippe Di Francesco, Emmanuel Guitter
We consider the triangular lattice ice model (20-Vertex model) with four types of domain-wall type boundary conditions. In types 1 and 2, the configurations are shown to be equinum…
Integrable Combinatorics
Philippe Di Francesco
We explore various combinatorial problems mostly borrowed from physics, that share the property of being continuously or discretely integrable, a feature that guarantees the existe…
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.
Integrable Combinatorics
Philippe Di Francesco
We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalb…
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…