Growth rate of cluster algebras

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

doi:10.1112/plms/pdu010

Growth rate of cluster algebras

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

Authors

Professor Anna Felikson anna.felikson@durham.ac.uk
Professor

M. Shapiro

H. Thomas

Professor Pavel Tumarkin pavel.tumarkin@durham.ac.uk
Professor

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