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: | |
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| 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)
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| 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 |
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.