Growth rate of cluster algebras

Felikson, A.; Shapiro, M.; Thomas, H.; Tumarkin, P.

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.

Citation

Felikson, A., Shapiro, M., Thomas, H., & Tumarkin, P. (2014). Growth rate of cluster algebras. Proceedings of the London Mathematical Society, 109(3), 653-675. https://doi.org/10.1112/plms/pdu010

• Journal Article Type: Article
• Acceptance Date: Dec 12, 2013
• Online Publication Date: Apr 1, 2014
• Publication Date: Sep 1, 2014
• Deposit Date: May 16, 2012
• Publicly Available Date: Mar 13, 2014
• Journal: Proceedings of the London Mathematical Society
• Print ISSN: 0024-6115
• Electronic ISSN: 1460-244X
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 109
• Issue: 3
• Pages: 653-675
• DOI: https://doi.org/10.1112/plms/pdu010