Hone, Andrew N.W., Ward, Chloe (2014) A family of linearizable recurrences with the Laurent property. Bulletin of the London Mathematical Society, 46 (3). pp. 503-516. ISSN 0024-6093. (doi:10.1112/blms/bdu004) (KAR id:41483)
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Official URL: http://dx.doi.org/10.1112/blms/bdu004 |
Abstract
We consider a family of non-linear recurrences with the Laurent property. Although these recurrences are not generated by mutations in a cluster algebra, they fit within the broader framework of Laurent phenomenon algebras, as introduced recently by Lam and Pylyavskyy. Furthermore, each member of this family is shown to be linearizable in two different ways, in the sense that its iterates satisfy both a linear relation with constant coefficients and a linear relation with periodic coefficients. Associated monodromy matrices and first integrals are constructed, and the connection with the dressing chain for Schrödinger operators is also explained.
Item Type: | Article |
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DOI/Identification number: | 10.1112/blms/bdu004 |
Subjects: |
Q Science > QA Mathematics (inc Computing science) Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QC Physics > QC20 Mathematical Physics |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Andrew Hone |
Date Deposited: | 20 Jun 2014 23:07 UTC |
Last Modified: | 05 Nov 2024 10:25 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/41483 (The current URI for this page, for reference purposes) |
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