1 citations · 1 across the 1 of their papers we have counts for
3 papers
nlin.SI2018
Complexity and integrability in 4D bi-rational maps with two invariants
G. Gubbiotti, N. Joshi, D. T. Tran +1
In this letter we give fourth-order autonomous recurrence relations with two invariants, whose degree growth is cubic or exponential. These examples contradict the common belief th…
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…