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nlin.SI2024
Pentagram maps over rings, Grassmannians, and skewers
Leaha Hand, Anton Izosimov
The pentagram map is a discrete dynamical system on planar polygons. By definition, the image of a polygon under the pentagram map is the polygon whose vertices are the in…
nlin.SI2024
Integrable systems and cluster algebras
Michael Gekhtman, Anton Izosimov
We review several constructions of integrable systems with an underlying cluster algebra structure, in particular the Gekhtman-Shapiro-Tabachnikov-Vainshtein construction based on…