3 papers
math.CO2026
Homomesy of Tropical -systems: Finite Type
Ariana Chin, Pavlo Pylyavskyy
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 di…
math.CO2026
Half-periodicity of Zamolodchikov periodic cluster algebras
Ariana Chin
In 2007, Fomin and Zelevinsky introduced the bipartite belt, a sequence of bipartite mutations whose exchange relations form a discrete dynamical system. Periodicity of this system…
math.CO2025
Classification of Zamolodchikov periodic cluster algebras
Ariana Chin
Zamolodchikov periodicity is a property of certain discrete dynamical systems and was one of the primary motivations for the creation of cluster algebras. It was first observed by…