Algebraic entropy for hex systems
arXiv:2311.01359 · doi:10.1088/1361-6544/ad88cd
Abstract
Hex systems were recently introduced [A. P. Kels. Integrable systems on hexagonal lattices and consistency on polytopes with quadrilateral and hexagonal faces. 2022. arXiv:2205.02720 [math-ph]] as systems of equations defined on two-dimensional honeycomb lattices. We give a definition of algebraic entropy for such systems and use it to check the integrability of specific examples.
25 pages, 7 figures, 10 tables, corrected typos, added and updated references