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math.GR2017
Cellular Automata on Group Sets
Simon Wacker
We introduce and study cellular automata whose cell spaces are left-homogeneous spaces. Examples of left-homogeneous spaces are spheres, Euclidean spaces, as well as hyperbolic spa…
math.GR2017
The Moore and the Myhill Property For Strongly Irreducible Subshifts Of Finite Type Over Group Sets
Simon Wacker
We prove the Moore and the Myhill property for strongly irreducible subshifts over right amenable and finitely right generated left homogeneous spaces with finite stabilisers. Both…
math.GR2017★ 2 cited
Right Amenability And Growth Of Finitely Right Generated Left Group Sets
Simon Wacker
We introduce right generating sets, Cayley graphs, growth functions, types and rates, and isoperimetric constants for left homogeneous spaces equipped with coordinate systems; char…