Generalized Linear Cellular Automata in Groups and Difference Galois Theory
classification
🧮 math.DS
keywords
differenceequationslinearautomatadiscretegaloisgeneralizedsystems
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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.
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