A4 Vertaisarvioitu artikkeli konferenssijulkaisussa
On Shift Spaces with Algebraic Structure
Tekijät: Ville Salo, Ilkka Törmä
Toimittaja: S Barry Cooper, Anuj Dawar, Benedikt Löwe
Kustannuspaikka: Berlin
Julkaisuvuosi: 2012
Journal: Lecture Notes in Computer Science
Kokoomateoksen nimi: How the World Computes
Sarjan nimi: Lecture Notes in Computer Science
Vuosikerta: 7318
Aloitussivu: 636
Lopetussivu: 645
Sivujen määrä: 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
Tiivistelmä
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.