Linear degree growth in lattice equations

2017/02/27 by Dinh T Tran, Tran, Dinh T, John A G Roberts +1
Mathematics · Computer Science · #Meromorphic and Entire Functions #Mathematical Dynamics and Fractals #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1702.08295

Abstract

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 recurrences to search for lattice equations that have linear growth and hence are linearizable.

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