On Shift Spaces with Algebraic Structure
Dynamical Systems
2012-04-25 v1 Discrete Mathematics
Formal Languages and Automata Theory
Rings and Algebras
Abstract
We investigate subshifts with a general algebraic structure and cellular automata on them, with an emphasis on (order-theoretic) lattices. Our main results concern the characterization of Boolean algebraic subshifts, conditions for algebraic subshifts to be recoded into cellwise algebras and the limit dynamics of homomorphic cellular automata on lattice subshifts.
Cite
@article{arxiv.1203.6795,
title = {On Shift Spaces with Algebraic Structure},
author = {Ville Salo and Ilkka Törmä},
journal= {arXiv preprint arXiv:1203.6795},
year = {2012}
}
Comments
12 pages. A shortened version accepted for publication in the proceedings of Computability in Europe 2012