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math.DS2008
Dynamics Groups of Asynchronous Cellular Automata
Matthew Macauley, Jon McCammond, Henning S. Mortveit
We say that a finite asynchronous cellular automaton (or more generally, any sequential dynamical system) is pi-independent if its set of periodic points are independent of the ord…
math.DS2008★ 36 cited
Cycle Equivalence of Graph Dynamical Systems
Matthew Macauley, Henning S. Mortveit
Graph dynamical systems (GDSs) can be used to describe a wide range of distributed, nonlinear phenomena. In this paper we characterize cycle equivalence of a class of finite GDSs c…