Cluster algebras have recently become an important player in mathematics and physics. In
this work, we investigate them through the lens of modern data science, specifically with …

We construct scattering diagrams for generalized cluster algebras, generalizing the cluster
scattering diagrams of Gross, Hacking, Keel and Kontsevich. They turn out to be natural …

Cluster algebras have recently become an important player in mathematics and physics. In
this work, we investigate them through the lens of modern data science, specifically with …

We give a construction of generalized cluster varieties and generalized cluster scattering
diagrams for reciprocal generalized cluster algebras, the latter of which were defined by …

Анотація Commodity indices determine the weighted price of various groups of goods. At
the same time, the dynamics of such indices reflects the dynamics of prices for the …

Ordinary cluster algebras were first introduced by Fomin and Zelevinsky in 2002 in order to
provide a concrete combinatorial framework for studying dual canonical bases and total …

Cluster algebras were defined by Fomin and Zelevinsky [18] in the year 2000 in a long-term
project aimed to develop an algebraic/combinatorial approach for two important subjects …

We construct scattering diagrams for Chekhov–Shapiro generalized cluster algebras where
exchange polynomials are factorized into binomials, generalizing the cluster scattering …