| dc.contributor.author | Saltan, Mustafa | |
| dc.contributor.author | Demir, Bünyamin | |
| dc.date.accessioned | 2019-10-20T14:28:13Z | |
| dc.date.available | 2019-10-20T14:28:13Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.uri | https://dx.doi.org/10.1142/S0218348X15500334 | |
| dc.identifier.uri | https://hdl.handle.net/11421/18059 | |
| dc.description | WOS: 000358787500012 | en_US |
| dc.description.abstract | In this paper, first we equip the automorphism group of the p-ary rooted tree X* with a natural metric and define a family of contractions on Aut(X*). Then, we construct an iterated function system (IFS) whose attractor is the closure of the adding machine group on Aut(X*). Finally, we show that this group is a strong self-similar group in the sense of IFS. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | World Scientific Publ Co Pte LTD | en_US |
| dc.relation.isversionof | 10.1142/S0218348X15500334 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | P-Ary Adding Machine | en_US |
| dc.subject | Automorphism Group | en_US |
| dc.subject | Fixed-Point Theorem | en_US |
| dc.subject | Iterated Function System | en_US |
| dc.title | An Iterated Function System for the Closure of the Adding Machine Group | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Fractals-Complex Geometry Patterns and Scaling in Nature and Society | en_US |
| dc.contributor.department | Anadolu Üniversitesi, Fen Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 23 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US] |
| dc.contributor.institutionauthor | Demir, Bünyamin | |
