Generalized linear cellular automata in groups and difference Galois theory

DOI10.1080/10236198.2014.990897zbMath1379.37028arXiv1308.1186OpenAlexW2021914724MaRDI QIDQ5248196

Weimar Muñoz, David Blázquez-Sanz

Publication date: 28 April 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1186

zbMATH Keywords

Cayley graphcellular automatadiscrete Fourier transformlinear difference equationsdifference Galois theory

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15) General theory of difference equations (39A05) Difference algebra (12H10)

Cites Work

• Unnamed Item
• Discrete Burgers' equation, binomial coefficients and Mandala
• Differential Galois theory of linear difference equations
• Solving difference equations in finite terms
• Picard-Vessiot extensions of Artinian simple module algebras.
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Existence of \(\partial\)-parameterized Picard-Vessiot extensions over fields with algebraically closed constants
• Cellular Automata and Groups
• Computational Analysis of One-Dimensional Cellular Automata

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