62 citations · 279 across the 22 of their papers we have counts for
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math-ph2014
Periodic Cluster Mutations and Related Integrable Maps
Allan P Fordy
One of the remarkable properties of cluster algebras is that any cluster, obtained from a sequence of mutations from an initial cluster, can be written as a Laurent polynomial in t…
math-ph2013★ 3 cited
Integrable Maps which Preserve Functions with Symmetries
Allan P Fordy, Pavlos Kassotakis
We consider maps which preserve functions which are built out of the invariants of some simple vector fields. We give a reduction procedure, which can be used to derive commuting m…
math-ph2012★ 3 cited
Recursive Procedures for Krall-Sheffer Operators
Allan P. Fordy, Michael J. Scott
We consider the Krall-Sheffer class of admissible, partial differential operators in the plane. We concentrate on algebraic structures, such as the role of commuting operators and…