Signatures over Finite Fields of Growth Properties for Lattice Equations
نویسندگان
چکیده
We study integrable lattice equations and their perturbations over finite fields. We write these equations in projective coordinates and assign boundary values along axes in the first quadrant. We propose some growth diagnostics over finite fields that can often distinguish between integrable equations and their non-integrable perturbations. We also discuss the limitations of the diagnostic. Finally, we show that conducting parameter searches over finite fields for lattice equations that satisfy a factorisation test leads to potential new equations that have vanishing entropy.
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