Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.09773 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909893117607936 |
|---|---|
| author | Zabolotskii, Andrei |
| author_facet | Zabolotskii, Andrei |
| contents | Tame SL$_2$-tilings are related to Farey graph and friezes; much less is known about wild (not tame) SL$_2$-tilings. In this note, we demonstrate SL$_2$-tilings that are maximally wild: we prove that the maximum wild density of an integer SL$_2$-tiling is $\tfrac25$ and present SL$_2$-tilings over $\mathbb{Z}/N\mathbb{Z}$ with wild density 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wildest $\mathrm{SL}_2$-tilings Zabolotskii, Andrei Combinatorics Tame SL$_2$-tilings are related to Farey graph and friezes; much less is known about wild (not tame) SL$_2$-tilings. In this note, we demonstrate SL$_2$-tilings that are maximally wild: we prove that the maximum wild density of an integer SL$_2$-tiling is $\tfrac25$ and present SL$_2$-tilings over $\mathbb{Z}/N\mathbb{Z}$ with wild density 1. |
| title | Wildest $\mathrm{SL}_2$-tilings |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2508.09773 |