1 citations · 1 across the 4 of their papers we have counts for
4 papers
Period 2 quivers and their T- and Y-systems
Joe Pallister
We give a general definition for period quivers before making some prudent assumptions to reduce the number of possibilities. Finding these quivers requires solving a complicat…
and type cluster algebras: Triangulated surfaces and friezes
Joe Pallister
By viewing and type cluster algebras as triangulated surfaces, we find all cluster variables in terms of either (i) the frieze pattern (or bipartite belt) o…
Linear relations for Laurent polynomials and lattice equations
Andrew N. W. Hone, Joe Pallister
A recurrence relation is said to have the Laurent property if all of its iterates are Laurent polynomials in the initial values with integer coefficients. We consider a family of n…
Linear relations and integrability for cluster algebras from affine quivers
Joe Pallister
We consider frieze sequences corresponding to sequences of cluster mutations for affine D and E type quivers. We show that the cluster variables satisfy linear recurrences with per…