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arXiv:1203.5558 [math.CO]AbstractReferencesReviewsResources

Growth rate of cluster algebras

Anna Felikson, Michael Shapiro, Hugh Thomas, Pavel Tumarkin

Published 2012-03-26, updated 2014-02-26Version 2

We complete the computation of growth rate of cluster algebras. In particular, we show that growth of all exceptional non-affine mutation-finite cluster algebras is exponential.

Comments: 22 pages; v2: section 4 is rewritten; a remark on the growth of cluster algebras with non-connected diagrams is added to the introduction; some typos corrected; to appear in Proc. LMS
Categories: math.CO
Subjects: 13F60
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