19 citations · 29 across the 7 of their papers we have counts for
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nlin.SI2024
New cluster algebras from old: integrability beyond Zamolodchikov periodicity
Andrew N. W. Hone, Wookyung Kim, Takafumi Mase
We consider discrete dynamical systems obtained as deformations of mutations in cluster algebras associated with finite-dimensional simple Lie algebras. The original (undeformed) d…
nlin.SI2024★ 1 cited
Deformed cluster maps of type
Jan E. Grabowski, Andrew N. W. Hone, Wookyung Kim
We extend recent work of the third author and Kouloukas by constructing deformations of integrable cluster maps corresponding to the Dynkin types , lifting these to higher-…
math.NT2024
Heron triangles and the hunt for unicorns
Andrew N. W. Hone
A Heron triangle is one that has all integer side lengths and integer area, which takes its name from Heron of Alexandria's area formula. From a more relaxed point of view, if resc…