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Large semigroups of cellular automata
2011
Ergodic Theory and Dynamical Systems
In this article we consider semigroups of transformations of cellular automata which act on a fixed shift space. In particular, we are interested in two properties of these semigroups which relate to "largeness". The first property is ID and the other property is maximal commutativity (MC). A semigroup has the ID property if the only infinite invariant closed set (with respect to the semigroup action) is the entire space. We shall consider two examples of semigroups: one is spanned by cellular
doi:10.1017/s0143385711000551
fatcat:6cpgrelkqjhftm3t7kndcnveze