Esther Banaian

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20222026

most citedA Generalization of Markov Numbers

1 citations · 1 across the 3 of their papers we have counts for

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math.CO2025

Cluster algebraic interpretation of generalized Markov numbers and their matrixizations

Esther Banaian, Yasuaki Gyoda

Markov numbers, i.e. positive integers appearing in solutions to $x^{2} + y^{2} + z^{2} = 3 x y z$ , can be viewed as specializations of cluster variables. The second author and Matsushita g…

math.CO2022★ 1 cited

A Generalization of Markov Numbers

Esther Banaian, Archan Sen

We explore a generalization of the Markov numbers that is motivated by a specific generalized cluster algebra arising from an orbifold, in the sense of Chekhov and Shapiro. We give…