Prevalence of Odometers in Cellular Automata
| dc.creator | Coven, Ethan M. | |
| dc.creator | Pivato, Marcus | |
| dc.creator | Yassawi, Reem | |
| dc.creator | . | |
| dc.date | 2005-11-01 | |
| dc.date.accessioned | 2026-07-07T06:50:37Z | |
| dc.date.available | 2026-07-07T06:50:37Z | |
| dc.description | We consider a left permutive cellular automaton Phi, with no memory and positive anticipation, defined on the space of all doubly infinite sequences with entries from a finite alphabet. For each such automaton that is not one-to-one, there is a dense set of points X (which is large in another sense too) such that the Phi-orbit closure of each x in X is topologically conjugate to an odometer (the ``+1'' map on a projective limit of finite cyclic groups). We identify this odometer in several cases. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511030 | |
| dc.identifier | http://arxiv.org/abs/math/0511030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104721 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B15 (primary); 68Q80 (secondary) | |
| dc.title | Prevalence of Odometers in Cellular Automata | |
| dc.type | text |