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math.CO2026
Cluster Expansions from Punctured Orbifolds
Esther Banaian, Wonwoo Kang, Elizabeth Kelley +2
We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and -walks - for elements in generalized cluster algebras associated…
math.CO2026
Growth of infinite frieze patterns of affine type
Karin Baur, Anna Felikson, Deepanshu Prasad +2
We analyse the growth coefficients of infinite frieze patterns arising from cluster algebras using cluster modular groups and cluster categories. For a fixed cluster category of af…
math.CO2026
A mirror deformation of Markov numbers
Léa Bittmann, Perrine Jouteur, Ezgi Kantarcı Oğuz +2
We introduce a deformed squared Markov equation given by . Symmetric solutions of this new equation present a remarka…