12 citations · 44 across the 21 of their papers we have counts for
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math.DS2019★ 3 cited
Algebraic entropy of sign-stable mutation loops
Tsukasa Ishibashi, Shunsuke Kano
We introduce a property of mutation loops, called the sign stability, with a focus on an asymptotic behavior of the iteration of the tropical -transformation. A sign-s…
math.RT2019★ 12 cited
Cluster realizations of Weyl groups and higher Teichmüller theory
Rei Inoue, Tsukasa Ishibashi, Hironori Oya
For a symmetrizable Kac-Moody Lie algebra , we construct a family of weighted quivers () whose cluster modular group $Γ_{Q_m(\mathfrak{g…