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Induced Subshifts and Cellular Automata

  • Silvio Capobianco
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5196)

Abstract

Given a shift subspace over a finitely generated group, we define the subshift induced by it on a larger group. Then we do the same with cellular automata and, while observing that the new automaton can model a different abstract dynamics, we remark several properties that are shared with the old one. After that, we simulate the old automaton inside the new one, and discuss some consequences and restrictions.

Keywords

Dynamical system shift subspace cellular automaton 

Mathematics Subject Classification 2000

37B15 68Q80 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Silvio Capobianco
    • 1
  1. 1.School of Computer ScienceReykjavík UniversityReykjavíkIceland

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