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On the Trace Subshifts of Fractional Multiplication Automata
Johan Kopra
We address the dynamics of the cellular automaton (CA) that multiplies by in base (for coprime ) by studying its trace subshift. We present a conjugacy of the tra…
Glider automata on all transitive sofic shifts
Johan Kopra
For any infinite transitive sofic shift we construct a reversible cellular automaton (i.e. an automorphism of the shift ) which breaks any given finite point of the subshift…
Dynamics of cellular automata on beta-shifts and direct topological factorizations
Johan Kopra
We consider the range of possible dynamics of cellular automata (CA) on two-sided beta-shifts . We show that any reversible CA has an almost equicontinuous dire…
On computing the Lyapunov exponents of reversible cellular automata
Johan Kopra
We consider the problem of computing the Lyapunov exponents of reversible cellular automata (CA). We show that the class of reversible CA with right Lyapunov exponent cannot be…