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Characterization of sets of limit measures of a cellular automaton iterated on a random configuration

Characterization of sets of limit measures of a cellular automaton iterated on a random configuration

The asymptotic behaviour of a cellular automaton iterated on a random configuration is well described by its limit probability measure(s). In this paper, we characterize measures and sets of measures that can be reached as limit points after iterating a cellular automaton on a simple initial measure. In addition to …