10 citations · 17 across the 7 of their papers we have counts for
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math.GR2016★ 3 cited
Right Amenable Left Group Sets and the Tarski-Følner Theorem
Simon Wacker
We introduce right amenability, right Følner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-Følner theorem for left homogeneous spaces…
math.GR2016★ 1 cited
The Garden of Eden Theorem for Cellular Automata on Group Sets
Simon Wacker
We prove the Garden of Eden theorem for cellular automata with finite set of states and finite neighbourhood on right amenable left homogeneous spaces with finite stabilisers. It s…
math.GR2016★ 10 cited
Cellular Automata on Group Sets and the Uniform Curtis-Hedlund-Lyndon Theorem
Simon Wacker
We introduce cellular automata whose cell spaces are left homogeneous spaces and prove a uniform as well as a topological variant of the Curtis-Hedlund-Lyndon theorem. Examples of…