What subshifts are the limit set of a cellular automaton?

نویسندگان

  • Timo Jolivet
  • Jarkko Kari
  • Turun Yliopisto
چکیده

Cellular automata are the most natural discretization of dynamical systems. Their long-term behaviour is captured in their limit set, also known as the maximal attractor. We investigate what complexity limit sets can have from the point of view of language theory, and we try to give some dynamical characterizations of subshifts that are limit sets. Then, the inverse problem of determining the limit set of a given CA is discussed in some simple cases.

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تاریخ انتشار 2009