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A path model for Whittaker vectors
P. Di Francesco, R. Kedem, B. Turmunkh
In this paper we construct weighted path models to compute Whittaker vectors in the completion of Verma modules, as well as Whittaker functions of fundamental type, for all finite-…
Bessenrodt-Stanley polynomials and the octahedron recurrence
Philippe Di Francesco
We show that a family of multivariate polynomials recently introduced by Bessenrodt and Stanley can be expressed as solution of the octahedron recurrence with suitable initial data…
The Non-Commutative -system and its positive Laurent property
P. Di Francesco
We define a non-commutative version of the T-system, which underlies frieze patterns of the integer plane. This system has discrete conserved quantities and has a particular…
Arctic curves of the octahedron equation
P. Di Francesco, R. Soto-Garrido
We study the octahedron relation (also known as the -system), obeyed in particular by the partition function for dimer coverings of the Aztec Diamond graph. For a s…