Preprint
Oct 2026
Homomesy of Tropical $T$-systems: Finite Type
In 2007, Fomin and Zelevinsky introduced the bipartite belt, a sequence of bipartite cluster mutations whose exchange relations form a discrete dynamical system. For each Dynkin diagram, this system is periodic, as a special case of Zamolodchikov periodicity. In the associated tropical dynamics, every mutation along th...
Ariana Chin, P. Pylyavskyy
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