Atsushi Nobe, Junta Matsukidaira. Periodicity, linearizability, and integrability in seed mutations of type AN(1). Journal of Mathematical Physics. 2021. 62. 1. 013510-013510
Atsushi Nobe, Junta Matsukidaira. A family of integrable and non-integrable difference equations arising from cluster algebras. RIMS Kokyuroku Bessatsu. 2019