Some Structures arising from the Farey Fractal
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911532551503872 |
|---|---|
| author | Haran, Shai |
| author_facet | Haran, Shai |
| contents | This work explores new arithmetic and combinatorial structures arising from the interplay between Farey-type graphs, Fibonacci expansions, and operadic constructions. We introduce Fibonadic numbers, defined as an inverse limit under the Zeckendorf shift, equipped with a metric, order, and commutative rig structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Structures arising from the Farey Fractal Haran, Shai Number Theory Combinatorics This work explores new arithmetic and combinatorial structures arising from the interplay between Farey-type graphs, Fibonacci expansions, and operadic constructions. We introduce Fibonadic numbers, defined as an inverse limit under the Zeckendorf shift, equipped with a metric, order, and commutative rig structure. |
| title | Some Structures arising from the Farey Fractal |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2509.10959 |