A4 Refereed article in a conference publication
On Shift Spaces with Algebraic Structure
Authors: Ville Salo, Ilkka Törmä
Editors: S Barry Cooper, Anuj Dawar, Benedikt Löwe
Publishing place: Berlin
Publication year: 2012
Journal:: Lecture Notes in Computer Science
Book title : How the World Computes
Series title: Lecture Notes in Computer Science
Volume: 7318
First page : 636
Last page: 645
Number of pages: 10
ISBN: 978-3-642-30869-7
eISBN: 978-3-642-30870-3
ISSN: 0302-9743
DOI: https://doi.org/10.1007/978-3-642-30870-3_64
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.
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.
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