On the Structure of Linear Cellular Automata

  • Adriana Popovici
  • Dan Popovici
Part of the Discrete Mathematics and Theoretical Computer Science book series (DISCMATH)


We introduce a new class of cellular automata, much richer than the classical one. These one dimensional cellular automata, called here linear, are presented together with their properties in the first section of the paper. We characterize linear functions which are global transition functions for certain bounded linear cellular automata. Finally, some results concerning the limit sets and a remarkable structure for isometric linear cellular automata are also included.


Hilbert Space Cellular Automaton Closed Subspace Local Rule Toeplitz Matrix 
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Copyright information

© Springer-Verlag London Limited 2001

Authors and Affiliations

  • Adriana Popovici
    • 1
  • Dan Popovici
    • 1
  1. 1.Department of Computer Science and MathematicsUniversity of the West TimişoaraTimişoaraRomania

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