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nlin.SI2017
Algebraic entropy of (integrable) lattice equations and their reductions
John A. G. Roberts, Dinh T. Tran
We study the growth of degrees in many autonomous and non-autonomous lattice equations defined by quad rules with corner boundary values, some of which are known to be integrable b…
nlin.SI2017★ 1 cited
Linear degree growth in lattice equations
Dinh T Tran, John A G Roberts
We conjecture recurrence relations satisfied by the degrees of some linearizable lattice equations. This helps to prove linear growth of these equations. We then use these recurren…