Gap distributions in circle packings
We determine the distribution of nearest neighbor spacings between the tangencies to a fixed circle in a class of circle packings generated by reflections. We use a combination of geometric tools and the theory of automorphic forms.
| Verfasser: | |
|---|---|
| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2017 |
| Publikation in MIAMI: | 01.03.2017 |
| Datum der letzten Änderung: | 16.04.2019 |
| Quelle: | Münster Journal of Mathematics, 10 (2017), S. 131-170 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
|
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-33249449620 |
| Weitere Identifikatoren: | DOI: 10.17879/33249449333 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-33249449620 |
| Onlinezugriff: | mjm_2017_10_131-170.pdf |
| Jahr | Jan | Feb | Mär | Apr | Mai | Jun | Jul | Aug | Sep | Okt | Nov | Dez | ∑ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2017 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 4 |
| 2018 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
| 2019 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 3 |
| 2020 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 2021 | 0 | 3 | 9 | 3 | 1 | 2 | 1 | 2 | 0 | 4 | 2 | 1 | 28 |
| 2022 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 1 | 0 | 1 | 1 | 5 | 14 |
| 2023 | 2 | 0 | 1 | 3 | 1 | 1 | 1 | 4 | 3 | 2 | 1 | 8 | 27 |
| 2024 | 5 | 1 | 2 | 1 | 2 | 0 | 11 |