Algebraic entropy computations for lattice equations: why initial value problems do matter

DOI10.1088/1751-8121/ab5238OpenAlexW3105997380MaRDI QIDQ5872995

Takafumi Mase, Jarmo Hietarinta, Ralph Willox

Publication date: 5 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03232

zbMATH Keywords

algebraic entropydegree growthlattice equationintegrability test

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice ⋮ Algebraic entropy for face-centered quad equations

Uses Software

• OEIS

Cites Work

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• Discrete Systems and Integrability
• Dynamics of complexity of intersections
• Linearizable mappings and the low-growth criterion
• Algebraic entropy of (integrable) lattice equations and their reductions
• Singularity confinement as an integrability criterion
• Searching for integrable lattice maps using factorization

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