38 citations · 265 across the 20 of their papers we have counts for
4 papers · 1 filter
Algebraic entropy for hex systems
Giorgio Gubbiotti, Andrew P. Kels, Claude-M. Viallet
Hex systems were recently introduced [A. P. Kels. Integrable systems on hexagonal lattices and consistency on polytopes with quadrilateral and hexagonal faces. 2022. arXiv:2205.027…
Discrete integrable equations on face-centered cubics: consistency and Lax pairs of corner equations
Andrew P. Kels
A new set of discrete integrable equations, called face-centered quad equations, was recently obtained using new types of interaction-round-a-face solutions of the classical Yang-B…
Algebraic entropy for face-centered quad equations
Giorgio Gubbiotti, Andrew P. Kels
In this paper we define the algebraic entropy test for face-centered quad equations, which are equations defined on vertices of a quadrilateral plus an additional interior vertex.…
Lens Generalisation of -functions for the Elliptic Discrete Painlevé Equation
Andrew P. Kels, Masahito Yamazaki
We propose a new bilinear Hirota equation for -functions associated with the root lattice, that provides a "lens" generalisation of the -functions for the elliptic disc…