Almost Periodicity, Finite Automata Mappings and Related Effectiveness Issues

dc.creatorPritykin, Yuri
dc.date2006-07-03
dc.date.accessioned2026-07-07T07:16:15Z
dc.date.available2026-07-07T07:16:15Z
dc.descriptionThe paper studies different variants of almost periodicity notion. We introduce the class of eventually strongly almost periodic sequences where some suffix is strongly almost periodic (=uniformly recurrent). The class of almost periodic sequences includes the class of eventually strongly almost periodic sequences, and we prove this inclusion to be strict. We prove that the class of eventually strongly almost periodic sequences is closed under finite automata mappings and finite transducers. Moreover, an effective form of this result is presented. Finally we consider some algorithmic questions concerning almost periodicity.
dc.description12 pages. Continuation of the results from the paper "Strongly Almost Periodic Sequences under Finite Automata Mappings" on cs.DM/0605026 Enhanced version of the talk on Workshop on Words and Automata, St Petersburg, Russia, June 7th, 2006 (satellite to CSR'06)
dc.identifierhttps://arxiv.org/abs/cs/0607009
dc.identifierhttp://arxiv.org/abs/cs/0607009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113524
dc.subjectDiscrete Mathematics
dc.subjectG.2.1; F.1.1
dc.titleAlmost Periodicity, Finite Automata Mappings and Related Effectiveness Issues
dc.typetext

Files

Collections