Multiplication cubes and multiplication automata

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dc.contributor.authorKopra, Johan
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id458237850
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/458237850
dc.date.accessioned2025-08-27T22:04:36Z
dc.date.available2025-08-27T22:04:36Z
dc.description.abstract<p>We extend previously known two-dimensional multiplication tiling systems that simulate multiplication by two natural numbers <em>p</em> and <em>q</em> in base <em>pq</em> to higher dimensional multiplication tessellation systems. We develop the theory of these systems and link different multiplication tessellation systems with each other via macrotile operations that glue cubes in one tessellation system into larger cubes of another tessellation system. The macrotile operations yield topological conjugacies and factor maps between cellular automata performing multiplication by positive numbers in various bases.<br></p>
dc.format.pagerange1
dc.format.pagerange40
dc.identifier.eissn1469-4417
dc.identifier.jour-issn0143-3857
dc.identifier.olddbid201588
dc.identifier.oldhandle10024/184615
dc.identifier.urihttps://www.utupub.fi/handle/11111/48644
dc.identifier.urlhttp://dx.doi.org/10.1017/etds.2024.44
dc.identifier.urnURN:NBN:fi-fe2025082785440
dc.language.isoen
dc.okm.affiliatedauthorKopra, Johan
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherCambridge University Press (CUP)
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.publisher.placeCAMBRIDGE
dc.relation.doi10.1017/etds.2024.44
dc.relation.ispartofjournalErgodic Theory and Dynamical Systems
dc.source.identifierhttps://www.utupub.fi/handle/10024/184615
dc.titleMultiplication cubes and multiplication automata
dc.year.issued2024

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