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On the approximate periodicity of sequences attached to noncrystallographic root systems

We study Fomin-Zelevinsky's mutation rule in the context of noncrystallographic root systems. In particular, we construct approximately periodic sequences of real numbers for the noncrystallographic root systems of rank 2 by adjusting the exchange relation for cluster algebras. Moreover, we describe matrix mutation classes for type H3 and H4.

preprint2016arXivOpen access
Philipp Lampe
math.RTmath.DS
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Philipp Lampe

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