تقرير
Shapes of infinite conformally balanced trees
| العنوان: | Shapes of infinite conformally balanced trees |
|---|---|
| المؤلفون: | Ivrii, Oleg, Lin, Peter, Rohde, Steffen, Sygal, Emanuel |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Dynamical Systems |
| الوصف: | Numerical experiments by Werness, Lee and the third author suggested that dessin d'enfants associated to large trivalent trees approximate the developed deltoid introduced by Lee, Lyubich, Makarov and Mukherjee. In this paper, we confirm this conjecture. As a side product of our techniques, we give a new proof of a theorem of Bishop which says that ``true trees are dense.'' We also exhibit a sequence of trees whose conformally natural shapes converge to the cauliflower, the Julia set of $z\mapsto z^2+1/4$. Comment: 48 pages, 12 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.20627 |
| رقم الأكسشن: | edsarx.2310.20627 |
| قاعدة البيانات: | arXiv |
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