Growth rate of cluster algebras

Abstract

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.

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

References in corpus (1)

• Cluster algebras and triangulated orbifolds

Cited by in corpus (1)

• Coxeter groups and their quotients arising from cluster algebras