تقرير
Domains of Convergence for Polyhedral Packings
| العنوان: | Domains of Convergence for Polyhedral Packings |
|---|---|
| المؤلفون: | Ahmed, Nooria, Ball, William, Buckminster, Ellis, Rivkin, Emilie, Torrance, Dylan, Viscusi, Jake, Wang, Runze, Whitehead, Ian, Yang, S. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Combinatorics, 52C26, 17B22 (Primary), 51F15, 17B67 (Secondary) |
| الوصف: | Polyhedral circle packings are generalizations of the Apollonian packing. We develop the theory of the Apollonian group, Descartes quadratic form, and related objects for all polyhedral packings. We use these tools to determine the domain of absolute convergence of a generating function that can be associated to any polyhedral packing. This domain of convergence is the Tits cone for an infinite root system. Comment: 26 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2109.01289 |
| رقم الأكسشن: | edsarx.2109.01289 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |