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math-ph2020
Grassmannian-parameterized solutions to direct-sum polygon and simplex equations
Aristophanes Dimakis, Igor Korepanov
We consider polygon and simplex equations, of which the simplest nontrivial examples are pentagon (5-gon) and Yang--Baxter (2-simplex), respectively. We examine the general structu…
nlin.SI2020
Tropical limit of matrix solitons and entwining Yang-Baxter maps
Aristophanes Dimakis, Folkert Müller-Hoissen
We consider a matrix refactorization problem, i.e., a "Lax representation", for the Yang-Baxter map that originated as the map of polarizations from the "pure" 2-soliton solution o…