Generalized Linear Cellular Automata in Groups and Difference Galois Theory
Dynamical Systems
2013-08-07 v1
Abstract
Generalized non-autonomous linear celullar automata are systems of linear difference equations with many variables that can be seen as convolution equations in a discrete group. We study those systems from the stand point of the Galois theory of difference equations and discrete Fourier transform.
Keywords
Cite
@article{arxiv.1308.1186,
title = {Generalized Linear Cellular Automata in Groups and Difference Galois Theory},
author = {David Blazquez-Sanz and Weimar Muñoz},
journal= {arXiv preprint arXiv:1308.1186},
year = {2013}
}
Comments
26 pages, 4 figures