Discrete dynamics in cluster integrable systems from geometric -matrix transformations
T George, S Ramassamy - arXiv preprint arXiv:2208.10306, 2022 - arxiv.org
Cluster integrable systems are a broad class of integrable systems modelled on bipartite
dimer models on the torus. Many discrete integrable dynamics arise by applying sequences …
dimer models on the torus. Many discrete integrable dynamics arise by applying sequences …
The cluster modular group of the dimer model.
T George, G Inchiostro - Annales de l'Institut Henri Poincaré D, 2024 - content.ems.press
Associated to a convex integral polygon N is a cluster integrable system XN constructed
from the dimer model. We compute the group GN of symmetries of XN, called the (2-2) …
from the dimer model. We compute the group GN of symmetries of XN, called the (2-2) …
Gale-Robinson quivers: from representations to combinatorial formulas
M Glick, J Weyman - arXiv preprint arXiv:1710.09765, 2017 - arxiv.org
We investigate a family of representations of Gale-Robinson quivers that are geared towards
providing concrete information about the corresponding cluster algebras. In this way, we …
providing concrete information about the corresponding cluster algebras. In this way, we …