Growth rate of cluster algebras
Combinatorics
2019-10-25 v2
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.
Cite
@article{arxiv.1203.5558,
title = {Growth rate of cluster algebras},
author = {Anna Felikson and Michael Shapiro and Hugh Thomas and Pavel Tumarkin},
journal= {arXiv preprint arXiv:1203.5558},
year = {2019}
}
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