Surjunctivity for cellular automata in Besicovitch spaces
| dc.creator | Capobianco, Silvio | |
| dc.date | 2007-05-04 | |
| dc.date | 2008-06-16 | |
| dc.date.accessioned | 2026-07-07T09:44:22Z | |
| dc.date.available | 2026-07-07T09:44:22Z | |
| dc.description | The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behavior of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product topology; in particular, that injectivity still implies surjectivity. | |
| dc.description | 9 pages, no figures, LaTeX. Shortened, some definition changed, proof of main lemma changed accordingly. Almost as submitted to Journal of Cellular Automata for special issue dedicated to Automata 2007 conference proceedings. Exceptions: one major error corrected in definition of surjunctivity; adapted for use of the article document class | |
| dc.identifier | https://arxiv.org/abs/0705.0670 | |
| dc.identifier | http://arxiv.org/abs/0705.0670 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162848 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B15 (Primary) 68Q80 (Secondary) | |
| dc.title | Surjunctivity for cellular automata in Besicovitch spaces | |
| dc.type | text |