Title
Robust periodic solutions and evolution from seeds in one-dimensional edge cellular automata
Abstract
We study one-dimensional cellular automata (CA) with values 0 and 1. We assume that such CA are started from semi-infinite configurations (those that have 0's to the left of some site), and we focus on the identification of robust periodic solutions (RPS), which, when observed from the left edge of the light cone, advance into any environment with positive velocity. We then utilize RPS and related concepts to analyze CA dynamics from seeds, i.e., initial configurations with finitely many 1's.
Year
DOI
Venue
2012
10.1016/j.tcs.2012.08.028
Theor. Comput. Sci.
Keywords
DocType
Volume
one-dimensional edge,light cone,initial configuration,left edge,positive velocity,robust periodic solution,related concept,one-dimensional cellular automaton,semi-infinite configuration,CA dynamic
Journal
466,
ISSN
Citations 
PageRank 
0304-3975
2
0.48
References 
Authors
4
2
Name
Order
Citations
PageRank
Janko Gravner143.64
David Griffeath2132.75